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.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.