J.R. S. answered 05/08/19
Ph.D. University Professor with 10+ years Tutoring Experience
Using the half-reaction method:
2Br- ===> Br2 + 2e- oxidation [x5]
MnO4- + 8H+ +5e- ===> Mn2+ + 4H2O reduction [x2]
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10Br- + 2MnO4- + 16H+ ===> 5Br2 + 2Mn2+ + 8H2O ... balanced for mass and charge