Placate, mollify (7)
I believe the answer is:
appease
I believe this is a double definition.
'placate' is the first definition.
(synonyms)
'mollify' is the second definition.
(synonyms)
(Other definitions for appease that I've seen before include "Placate by giving in to demands" , "be satisfying" , "Propitiate by concessions" , "To behave like Chamberlain" , "Mollify, placate" .)