"When a man from among you (Mikkem) brings an offering (Yaqrib) to G-d". The word "Mikkem" (from among you) seems superfluous. The following parable will give us an insight to better understand this Pasuq (verse).
A man went to a store to buy a mirror. The store owner showed him a beautiful one but the customer glanced at it and immediately said that he was not interested. When asked why, he responded that there was a very odd picture in it. He saw an image of a man who was disheveled, with messy clothes and dirt on his face. That was because he saw his own reflection. The storekeeper said to him, "You foolish man. The "picture" that you see is a reflection of yourself. If you go and tidy yourself up, the picture will improve accordingly".
The moral is that the way that G-d deals with us is the way that we deal with Him. If we follow His instructions and go down the right path, then He deals with us accordingly. If we, however, do not do that which He asks, then G-d does not deal with us the way we wish. This is an explanation of the verse "Ani Ledodi Wedodi Li" (I am for my beloved and my beloved is for me): the amount of attachment that I have to G-d is the attachment that G-d has to me.
We can now read our verse, "When a man wishes to bring himself closer (Yaqrib) to G-d , the extent to which G-d comes close to him comes "from you" (Mikkem). There is a direct correlation between how close you come to G-d and how close He comes to you.
(See 'Od Yoseph Hai, Parashath Wayiqra)