Chris Evans added 11 points and a game-high nine rebounds to help Kent State (8-5) win its fourth straight game.
Trailing 39-29 at halftime, Cleveland State (8-5) began the second half on a 12-4 run and got within two points, 43-41, on Tim Kamczyc's three-point play with 16:05 left to play.
Kent State answered, pulling away with a 28-10 run to take a 71-51 lead with 2:27 remaining.
Brewer led the Golden Flashes in the second half with 15 points, and Kent State connected on 15 of 20 free throws in the period to pull away with the victory.
Bryn Forbes led the Vikings with 12 points in their first home loss of the season.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.