First, we need to assign oxidation numbers to each element in the reactants and products:
H2O: H(+1), O(-2)
MnO4: Mn(+7), O(-2)
ClO2: Cl(+4), O(-2)
MnO2: Mn(+4), O(-2)
ClO4: Cl(+7), O(-2)
OH: O(-2), H(+1)
Now, let's compare the oxidation numbers of each element
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