Balance the following equation by oxidation number method.
${M n O_{4}}^{2 -} + H^{+} \to M n O_{2} + {M n O_{4}}^{-} + H_{2} O$

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Solution

$V I M n O_{4}^{2 -} \to I V M n O_{2}$
$[V I M n O_{4}^{2 -} \to V I I M n O_{4}^{-}] \times 2$
$3 M n O_{4}^{2} + 4 H^{+} \to 2 M n O_{4}^{-} + M n O_{2} + 2 H_{2} O$ .

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