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Should I write formula for oxalate or oxalic acid while balancing a redox reaction using the ion-electron method?

Problem: Balance the following reaction using the ion-electron method: $$\ce{H2C2O4 + KMnO4 + H2SO4 -> CO2 + MnSO4 + K2SO4 + H2O}$$ My book's solution: Oxidation half-reaction: $$\ce{C2O4^2- -> ...
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