Greek: proserchometha (1PPMS) meta alethines kardias en plerophoria pisteos, rerantismenoi (RPPMPN) tas kardias apo suneideseos poneras kai lelousmenoi (RMPMPN) to soma udati katharo
Amplified: Let us all come forward and draw near with true (honest and sincere) hearts in unqualified assurance and absolute conviction engendered by faith (by that leaning of the entire human personality on God in absolute trust and confidence in His power, wisdom, and goodness), having our hearts sprinkled and purified from a guilty (evil) conscience and our bodies cleansed with pure water. (Amplified Bible - Lockman)
Barclay: let us approach the presence of God with a heart wherein the truth dwells and with the full conviction of faith, with our hearts so sprinkled that they are cleansed from all consciousness of evil and with our bodies washed with pure water. (Westminster Press)
NLT: let us go right into the presence of God, with true hearts fully trusting him. For our evil consciences have been sprinkled with Christ's blood to make us clean, and our bodies have been washed with pure water. (NLT - Tyndale House)
Phillips: let us draw near with true hearts and fullest confidence, knowing that our inmost souls have been purified by the sprinkling of his blood just as our bodies are cleansed by the washing of clean water. (Phillips: Touchstone)
Wuest: let us keep on drawing near with a genuinely true heart in full assurance of faith, having had our hearts sprinkled from an evil conscience and having had our body washed with pure water.  (Erdmans) 
Young's Literal: may we draw near with a true heart, in full assurance of faith, having the hearts sprinkled from an evil conscience, and having the body bathed with pure water;

LET US DRAW NEAR WITH A SINCERE HEART (Heb4:16 7:19): proserchometha (1PPMS) meta alethines kardias : (4:16; 7:19; Psalms 73:28; Isaiah 29:13; Jeremiah 30:21; James 4:8) (1 Kings 15:3; 1 Chronicles 12:33; 28:9; 29:17; Psalms 9:1; 32:11; 51:10; 84:11; 94:15; Psalms 111:1; 119:2,7,10,34,58,69,80,145; Proverbs 23:26; Jeremiah 3:10; 24:7; Acts 8:21; Ephesians 6:5)

Click for all 12 "let us..." exhortations in Hebrews (in the NASB).

The writer began this section on the superiority of Christ High Priesthood with almost identical invitation in Hebrews 4:16 Because of the confidence we have from our grand Access and Advocate, “let us draw near..."

Draw near (4334) (proserchomai from prós = facing + érchomai = come) means literally to come facing toward and so to approach or come near. To come to visit or associate with. It describes the approach to or entry into a deity’s presence. In the Septuagint (LXX) proserchomai was the verb used to describe the approach of the priests to Jehovah for worship and to perform of their priestly (Levitical) functions. But here in Hebrews, under the New covenant, all seven uses of  proserchomai refer to believers possessing the privilege of access to God the Father through Christ the Great High Priest.

Here are the seven uses of this proserchomai in Hebrews...

Hebrews 4:16 (note) Let us therefore draw near with confidence to the throne of grace, that we may receive mercy and may find grace to help in time of need. (Comment: "Let us..." emphasizes that this privilege is always available to those under the New Covenant. Do we really comprehend and avail ourselves of the profundity of this privilege?)

Hebrews 7:25 (note) Hence, also, He is able to save forever those who draw near (present tense = emphasizes continual activity) to God through Him, since He always lives to make intercession for them.

Hebrews 10:1 (note) For the Law, since it has only a shadow of the good things to come and not the very form of things, can never by the same sacrifices year by year, which they offer continually, make perfect those who draw near.

Hebrews 10:22 (note) let us draw near with a sincere heart in full assurance of faith, having our hearts sprinkled clean from an evil conscience and our bodies washed with pure water.

Hebrews 11:6 (note) And without faith it is impossible to please Him, for he who comes (drawn near) to God must believe that He is, and that He is a rewarder of those who seek Him.

Hebrews 12:18 (note) For you have not come (drawn near) to  a mountain that may be touched and to a blazing fire, and to darkness and gloom and whirlwind,

Hebrews 12:22 (note) But you have come (drawn near) to Mount Zion and to the city of the living God, the heavenly Jerusalem, and to myriads of angels,

Sincere (228) (alethinos from alethes = true, one who cannot lie from  a = without + lêthô or lanthanô = to conceal = that which is out in the open) refers to words that conform to facts and thus are true, correct and dependable. Alethinos describes that which conforms to reality. It is that which has not only the name and resemblance, but the real nature corresponding to the name, in every respect corresponding to the idea signified by the name and thus real, true and genuine. It is the opposite of fictitious, counterfeit, imaginary, simulated or pretended. Alethinos speaks of that which measures up to or consists of all that would make that person or thing that which is expected of him or it. When used of persons it describes those. characterized by integrity and trustworthiness (true, dependable).

Sincere is thus genuine without superficiality, hypocrisy, or ulterior motive.

This passage evokes the relationship of heart-obedience to God that Jeremiah envisioned in terms of the "new heart" God would create in his people (Jer 31:33). For the phrase compare the Septuagint (LXX) translation of Isa 38:3 (with a whole heart = en kardia alethine)

We are not to stand far off from God, as the Israelites had to do under the Mosaic Covenant (Nu 18:22) but are, rather, to “draw near.”

This “drawing near” must be the motive for all subsequent action. It includes more than formal prayer, since the present tense infers a continual drawing near. As the wick of a lamp continually draws oil for the light, so let us continually draw from God the strength and grace we need to function.

The nation of Judah, like many individuals, often had come to God with anything but a sincere heart (Jer 3:10). But a day was to come when His people would change (Jer 24:7).From the earliest days of the Old Covenant, God had demanded a sincere heart. “You will seek the Lord your God, and you will find Him if you search for Him with all your heart and all your soul” (Dt 4:29). The people who find God are those who seek Him with their whole heart, with total genuineness.

There must be inner sincerity from one’s whole being. Although the language is different, the sixth Beatitude carries the same idea, where we are called to be pure in heart (see note Matthew 5:8). There are to be no mixed motives or divided loyalties. There must be pure and unmixed devotion, “sincere” love for God. Jesus makes essentially the same point in Jn 4:23 This is how we are to draw near to God in prayer—real, genuine, absorbed. The preacher sees this as being of key importance to those who are being distracted by the menacing waves. He knows that essential to their survival is the ability to perpetually come to God in prayer that is sincere and wholehearted, true and engaged. If they do this, they will emerge victorious.

G Campbell Morgan writes...

In a previous note (Hebrews 7.25) we considered the fact that the intercessory work of our High Priest is only operative on behalf of those who draw near to God through Him. In these words we are called upon to avail ourselves of the privilege He has created of access to God. It is that possi­bility of approach and access which is the supreme and glorious fact resulting from the work of our Priest. The very nature of this appeal emphasizes this. The one thing we are called upon to do is to draw near. In God, and the eternal order, there is no reason why we should not do so. Everything which excluded men from God has been put away. The rending of the Temple veil at the death of Jesus was symbolic. That which, in its wholeness, had been the symbol of man's exclusion from God through sin, in its rent condition was the symbol of the open way to God. The life of Jesus in its final perfection was a perpetual message to men concerning their unfitness to enter the Divine Presence. Because He lived a life of unbroken fellowship with God, I know that I cannot do so; His fellowship resulted from His being well-pleasing to God. Nothing ever has separated between man and God, save sin. He was sinless, and so lived with God. But the death of Jesus has dealt with my sin, and so has made possible my return to God, my access to Him at all times and under all circumstances. Therefore the appeal tome is not a call to prepare myself, or to make a way for myself to God. It is simply to come, to draw near, to enter in. This I do only through my great High Priest, but this I may do through Him without faltering and without fear. (Morgan, G. C. Life Applications from Every Chapter of the Bible)

IN FULL ASSURANCE OF FAITH: en plerophoria pisteos: (19; Matthew 21:21,22; Mark 11:23,24; Ephesians 3:12; James 1:6; 1 John 3:19,21,22)

Full conviction engendered by faith. Faith is the basis of all right relation to God. The climax of faith is commitment. Professing Christ, without commitment to Christ, is not saving faith.

"Full conviction engendered by faith." Vincent

The story is told of a tightrope walker who liked to walk a wire across Niagara Falls-preferably with someone on his back. Many people on the bank expressed complete confidence in his ability to do it, but he always had a difficult time getting a volunteer to climb up on him.

Many people express complete confidence in Christ but never trust themselves to Him.

Faith (4102)(pistis) is synonymous with trust or belief and is the conviction of the truth of anything, but in Scripture usually speaks of belief  respecting man's relationship to God and divine things, generally with the included idea of trust and holy fervor born of faith and joined with it.

Clearly faith is a key word in Hebrews. Study the 31 uses of pistis in Hebrews in context (click the Scripture links to go to the notes on each verse)...

Hebrews 4:2 - For indeed we have had good news preached to us, just as they also; but the word they heard did not profit them, because it was not united by faith in those who heard.

Hebrews 6:1 - Therefore leaving the elementary teaching about the Christ, let us press on to maturity, not laying again a foundation of repentance from dead works and of faith toward God,

Hebrews 6:12 -so that you will not be sluggish, but imitators of those who through faith and patience inherit the promises.

Hebrews 10:22 - let us draw near with a sincere heart in full assurance of faith, having our hearts sprinkled clean from an evil conscience and our bodies washed with pure water.

Hebrews 10:38 - BUT MY RIGHTEOUS ONE SHALL LIVE BY FAITH; AND IF HE SHRINKS BACK, MY SOUL HAS NO PLEASURE IN

Hebrews 10:39 - But we are not of those who shrink back to destruction, but of those who have faith to the preserving of the soul.

Hebrews 11:1 - Now faith is the assurance of things hoped for, the conviction of things not seen.

Hebrews 11:3 - By faith we understand that the worlds were prepared by the word of God, so that what is seen was not made out of things which are visible.

Hebrews 11:4 - By faith Abel offered to God a better sacrifice than Cain, through which he obtained the testimony that he was righteous, God testifying about his gifts, and through faith, though he is dead, he still speaks.

Hebrews 11:5 - By faith Enoch was taken up so that he would not see death; AND HE WAS NOT FOUND BECAUSE GOD TOOK HIM UP; for he obtained the witness that before his being taken up he was pleasing to God.

Hebrews 11:6 - And without faith it is impossible to please Him, for he who comes to God must believe that He is and that He is a rewarder of those who seek Him.

Hebrews 11:7 - By faith Noah, being warned by God about things not yet seen, in reverence prepared an ark for the salvation of his household, by which he condemned the world, and became an heir of the righteousness which is according to faith.

Hebrews 11:8 - By faith Abraham, when he was called, obeyed by going out to a place which he was to receive for an inheritance; and he went out, not knowing where he was going.

Hebrews 11:9 - By faith he lived as an alien in the land of promise, as in a foreign land, dwelling in tents with Isaac and Jacob, fellow heirs of the same promise;

Hebrews 11:11 - By faith even Sarah herself received ability to conceive, even beyond the proper time of life, since she considered Him faithful who had promised.

Hebrews 11:13 - All these died in faith, without receiving the promises, but having seen them and having welcomed them from a distance, and having confessed that they were strangers and exiles on the earth.

Hebrews 11:17 - By faith Abraham, when he was tested, offered up Isaac, and he who had received the promises was offering up his only begotten son;

Hebrews 11:20 - By faith Isaac blessed Jacob and Esau, even regarding things to come.

Hebrews 11:21 - By faith Jacob, as he was dying, blessed each of the sons of Joseph, and worshiped, leaning on the top of his staff.

Hebrews 11:22 - By faith Joseph, when he was dying, made mention of the exodus of the sons of Israel, and gave orders concerning his bones.

Hebrews 11:23 - By faith Moses, when he was born, was hidden for three months by his parents, because they saw he was a beautiful child; and they were not afraid of the king's edict.

Hebrews 11:24 - By faith Moses, when he had grown up, refused to be called the son of Pharaoh's daughter,

Hebrews 11:27 - By faith he left Egypt, not fearing the wrath of the king; for he endured, as seeing Him who is unseen.

Hebrews 11:28 - By faith he kept the Passover and the sprinkling of the blood, so that he who destroyed the firstborn would not touch them.

Hebrews 11:29 -By faith they passed through the Red Sea as though they were passing through dry land; and the Egyptians, when they attempted it, were drowned.

Hebrews 11:30 - By faith the walls of Jericho fell down after they had been encircled for seven days.

Hebrews 11:31 - By faith Rahab the harlot did not perish along with those who were disobedient, after she had welcomed the spies in peace.

Hebrews 11:33 -who by faith conquered kingdoms, performed acts of righteousness, obtained promises, shut the mouths of lions,

Hebrews 11:39 - And all these, having gained approval through their faith, did not receive what was promised,

Hebrews 12:2 - fixing our eyes on Jesus, the author and perfecter of faith, who for the joy set before Him endured the cross, despising the shame, and has sat down at the right hand of the throne of God.

Hebrews 13:7 - Remember those who led you, who spoke the word of God to you; and considering the result of their conduct, imitate their faith.

HAVING OUR HEARTS SPRINKLED CLEAN FROM AN EVIL CONSCIENCE: rerhantismenoi (RPPMPN) as kardia apo suneideseos poneras: (9:13,14,19; 11:28; 12:24; Leviticus 14:7; Numbers 8:7; 19:18,19; Isaiah 52:15; Ezekiel 36:25; 1 Peter 1:2) (John 8:9; 1 Timothy 4:2; 1 John 3:20)

The perfect tense of sprinkled and washed speak of actions accomplished in past and continuing in the effect/benefit.

"Hearts sprinkled clean" pictures our once for all past tense salvation (the act of having been justified) when we were declared righteous by faith & the Spirit circumcised (Dt 30:6) our hearts (see notes Romans 2:28, 2:29, Colossians 2:11, Dt 30:6, Ezekiel 11:19,20, 18:31, 36:26,27) "transplanting" a new heart with this new heart exerting a continuing effect on our current and future behavior and actions (perfect tense).

A T Robertson adds that this is

an evident allusion to the sprinkling of blood in the old tabernacle (9:18-22) and the shedding of Christ’s blood for the cleansing of our consciences (10:1-4 1:3).

Recalls to mind Moses "sprinkling" the children of Israel in the 1st Covenant (Ex 24:8); High Priest once/year "sprinkling" the Mercy Seat w/ the blood of the sacrificial animal to cover the sins. Under the Old Covenant, when priests (cp notes 1 Peter 2:9, Revelation 1:5) were consecrated they were sprinkled with blood Ex 29:21, Lv 8:23,24, 30 (see note 1 Peter 1:2)

We are to come “having our hearts sprinkled from an evil conscience, and our bodies washed with pure water,” which was typical of the high priest who, before he could approach God, had to be sprinkled with the blood of the sacrifice and wash his body at the laver. Then, and only then, could he enter the holy of holies with a pure conscience before God. We, too, must experience the cleansing power of Christ’s blood, freeing us from an evil conscience of sin, so that we can come into God’s presence with bold confidence in our worship.

This figure, as we might expect, is taken from the sacrificial ceremonies of the Old Covenant. The priests were continually washing themselves and the sacred vessels in the basins of clear water, and blood was continually being sprinkled as a sign of cleansing. But all the cleansing, whether with water or blood, was external. Only Jesus can cleanse a man’s heart. By His Spirit He cleanses the innermost thoughts and desires.

Take me as I am, Lord,
And make me all Your own;
Make my heart Your palace
And Your royal throne. --Anon.

Conscience (4893)(suneidesis from sun = with + eido = know) literally means a "knowing with", a co-knowledge with oneself or a being of one's own witness in the sense that one's own conscience "takes the stand" as the chief witness, testifying either to one's innocence or guilt. It describes the witness borne to one's conduct by that faculty by which we apprehend the will of God.  (Click here for more notes on on this website on conscience)

The conscience is a key word in the epistle to the Hebrews...

Hebrews 9:9 (note) which (the outer tabernacle) is a symbol for the present time. Accordingly both gifts and sacrifices are offered which cannot make the worshiper perfect in conscience,

Hebrews 9:14 (note) how much more will the blood of Christ, who through the eternal Spirit offered Himself without blemish to God, cleanse your conscience from dead works to serve the living God?

Hebrews 10:22 (note) let us draw near with a sincere heart in full assurance of faith, having our hearts sprinkled clean from an evil conscience and our bodies washed with pure water.

Hebrews 13:18 (note)  Pray for us, for we are sure that we have a good conscience, desiring to conduct ourselves honorably in all things.

For the first time in their lives as Jews who worshiped Jehovah the guilt was completely gone, and their conscience could rest easy. This refers to the positional truth because of the cleansing provided by the blood of Christ. But there is also a practical (daily practice or sanctification) aspect to the conscience for Paul writes...

I thank God, whom I serve (present tense = continually) with a clear conscience the way my forefathers did, as I constantly remember you in my prayers night and day, (see note 2 Timothy 1:3)

I Want a Principle Within
by Charles Wesley (Play hymn)

I want a principle within of watchful, Godly fear,
A sensibility of sin, a pain to feel it near.
Help me the first approach to feel of pride or wrong desire,
To catch the wand’ring of my will and quench the Spirit’s fire.

From Thee that I no more may stray, no more Thy goodness grieve,
Grant me the filial awe, I pray, the tender conscience give.
Quick as the apple of an eye, O God, my conscience make!
Awake my soul when sin is nigh and keep it still awake.

Almighty God of truth and love, to me Thy pow’r impart;
The burden from my soul remove, the hardness from my heart.
O may the least omission pain my reawakened soul,
And drive me to that grace again which makes the wounded whole.

Conscience is God’s spy and man’s overseer. (John Trapp)

Conscience tells us that we ought to do right, but it does not tell us what right is--that we are taught by God's word.

Christopher Morley said about conscience