Hill added a solo homer in the ninth, his third.
He also had a solo homer in the eighth to give the Twins a 7-4 lead.
Belle's solo homer was his 33rd of the season and seventh in the last nine games.
Jake Fox hit a solo homer in the top of the 10th for the game winner.
Walker hit a solo homer, his 35th, and a sacrifice fly.
Ted Simmons stretched the lead to 3-0 with his second solo homer in two games.
Mitchell tied it at 2-2 for the Giants in the third on a solo homer.
Aaron gave the Braves the lead with a solo homer in the seventh.
The solo homers broke open a tie and sent Florida to its fourth straight loss.
Wright's solo homer to left field in the fifth inning made the score 5-1.