Brewer drained a trio of 3-pointers and Faried put the Nuggets ahead to stay on a layup with 46 seconds left in the extra frame as Denver improved to 16-3 at home and broke a two-game skid.
Faried also provided 10 rebounds and four blocked shots. Danilo Gallinari supplied 18 points, six boards and three steals for Denver.
Kevin Martin added 18 points and Serge Ibaka provided 16 for Oklahoma City, which had its six-game winning streak snapped.
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