16 HCl-I + 2 KMnVIIO4 5 Cl20 + 2 MnIICl2-I + 2 KCl-I + 8 H2O

This is an oxidation-reduction (redox) reaction:

2 MnVII + 10 e- 2 MnII (reduction)

10 Cl-I - 10 e- 10 Cl0 (oxidation)

Change the oxidation states