First, for Cr₂O₇²⁻, oxygen is -2, so the seven oxygens give -14. The two chromiums must total +12 to reach the -2 charge, so each Cr is +6. For S₄O₆²⁻, it's a tricky one—it's a tetrathionate ion where two sulphur atoms have +5 and the other two are zero, giving an average oxidation state of +2.5. For CH₃COOH, the carbons are different: the methyl carbon is -3 and the carbonyl carbon is +3. Let me check my notes from last semester's pharmaceutical chemistry, where we had to balance these for drug metabolism reactions... it feels like trying to explain a complex recipe to my grandmother, who insists there's a simpler way just by looking at the pot.
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