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OH- and H+ can be both reactants and products in your redox reaction. This varies case to case, so you would have to balance each of your half reactions and see what needs to be balanced in order to determine where the OH- or H+ is needed.
In a test style problem, would the question say something alongs the lines of "In the acidic rxn..." or must we be able to identify that? Otherwise, if we were to accidentally use OH- when we were supposed to use H+, would a significant number of points be taken off?
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