Calculations:
Oxidation half reaction = Al + AlO2^-
Reduction half reaction = NO2^- + NH3
Balance all other atoms except hydrogen and oxygen:
Al = AlO2^-
NO2^- = NH3
Balance the oxygen atoms:
Al + 2H2O = AlO2^-
NO2^- = NH3 + 2H2O
Balance Hydrogen atoms:
Al + 2H2O = AlO2^- + 4H^+
NO2^- + 7H^+ = NH3 + 2H2O
Balance the total charge: