Balance Al+NaOH+H2 = NaAlO2+H2O
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You cannot balance Al + NaOH = NaAlO2 + H2 because that reaction will not run. You can never get 2 oxygen atoms on the right hand side of the equation without also getting 2 Na atoms there. This equation will never balance.
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The balanced equation will be
2Al + 2NaOH + 2H2O → 2NaAlO2 + 3H2
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