Chicago took its first lead at 60-58 on a Deng 3-pointer with 4:26 remaining in the third and took the lead for good on a Boozer layup with 1:50 left.
Anthony Randolph and McGee each had 15 points for Denver, which lost four straight to end the preseason at 2-5.
Former Bulls guard Nate Robinson missed a potential game-tying 3-pointer with 18.1 seconds left.
Ty Lawson left the game with left groin tightness and scored 11 points in 16 minutes.
The Nuggets open Wednesday in Sacramento against the Kings.
The Celtics and coach Brad Stevens love the versatility of swingman Evan Turner, but might court other free agents before circling back to him.
Marc Stein says being offered the Lakers' head coaching job was too good of an opportunity to pass up for Luke Walton.
Steph Curry tells reporters he's optimistic he will be able to return to the Warriors before the initial two-week timetable he was given after spraining his MCL.