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2KMnO4(aq) + 3H2SO4(aq) + H2O2(l) ---> 2MnSO4(aq) + K2SO4(aq) + 4H2O(l) + 3O2(g)
This equation has one solution. Problem is, it is not easy to find, especially using wrong methods, but it can be easily confirmed experimentally. In fact this is base of titrimetric method:http://www.titrations.info/permanganate-titration-hydrogen-peroxideTry to balance the equation using ON method, should work without problems. Half reaction method will probably work too. Algebraic method will not work.