To balance the first equation:
2KMnO4 + 3Na2SO3 + 2KOH → 2MnO2 + 3Na2SO4 + 2K2SO4 + H2O
To balance the second equation:
MnO2 + 4HCl → MnCl2 + Cl2 + 2H2O
To balance the first equation:
2KMnO4 + 3Na2SO3 + 2KOH → 2MnO2 + 3Na2SO4 + 2K2SO4 + H2O
To balance the second equation:
MnO2 + 4HCl → MnCl2 + Cl2 + 2H2O