Mollify, appease (6)
I believe the answer is:
pacify
I believe this is a double definition.
'mollify' is the first definition.
(I know that mollify can be written as pacify)
'appease' is the second definition.
(I know that appease can be written as pacify)
(Other definitions for pacify that I've seen before include "Make calm, appease" , "Appease - subdue" , "Placate, calm" , "Mollify, appease" , "Soothe - appease" .)