Joe Johnson provided 13 points and five assists as Brooklyn got back on the winning track after dropping two straight road games.
The Nets broke the game open with a 23-4 fourth-period run.
Nikola Vucevic led the struggling Magic with 18 points and nine rebounds.
Orlando got 16 points from Maurice Harkless and 15 from Glen Davis en route to its sixth straight loss and 17th setback in 19 contests.
Celebrity Families of 2014 [PHOTOS]