The Hurricanes (16-9, 7-5 Atlantic Coast Conference) scored 13 unanswered points during a 4:29 span early in the second half. Shane Larkin's 3-pointer with 11:44 left ended the run and gave Miami a 56-42 advantage.
Reggie Johnson's layup with 5:42 remaining gave the Hurricanes their first 20-point lead at 70-50.
The win snapped a two-game losing streak for the Hurricanes (16-9, 7-5 ACC).
Harris scored 14 points to lead Wake Forest, which has lost seven of its last eight. The Deacons (12-15, 3-10) shot 52 percent from the field in the first half but 30 in the second half.
Miami capitalized on a 39-24 advantage in rebounds, including 15-5 on the offensive end.
Wake Forest twice opened six-point leads early in the first half as they converted eight of their first 12 shots.
Harris' one of two free throws with 9:21 remaining gave Wake Forest a 23-18 lead before the Hurricanes rallied with nine unanswered points in the next 2:23.
Scott keyed the run with four baskets and Garrius Adams' 3-pointer with 6:58 left capped the surge and put Miami ahead, 27-23.
Harris hit consecutive 3-pointers and Wake Forest took a 34-32 lead with 1:05 remaining. Kadji's dunk with 46 seconds left tied it 34-34 at halftime.