Nene also netted 19 points and added five assists and five rebounds as the Wizards won for the first time in three games.
The Bulls made a fourth-quarter push, pulling to within 87-82 with 5:32 remaining, but Washington then went on a 7-0 run capped by a Bradley Beal 3-pointer off a feed from Wall to put the game away.
Carlos Boozer paced Chicago with 19 points and seven rebounds.
Joakim Noah hauled down 16 rebounds as the Bulls had their five-game winning streak snapped.
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