10 NaI-I + 2 KMnVIIO4 + 8 H2SO4 5 Na2SO4 + 5 I20 + 2 MnIISO4 + K2SO4 + 8 H2O

This is an oxidation-reduction (redox) reaction:

2 MnVII + 10 e- 2 MnII (reduction)

10 I-I - 10 e- 10 I0 (oxidation)

Change the oxidation states