Coolsculpting or Mesotherapy for permanent fat loss? Can they be done together?

I had Coolsculpting done on my upper arms and abdomen, and did mesotherapy on those same areas the very next day. It was part of a promotional package to do them together, and I guess I fell for it. I'd like to know if one is better than the other in terms of losing fat permanently. I know that coolsculpting kills fat cells, does mesotherapy kill them too? Also, will I see better (or worse) results for doing them both together? Thanks!