compensate
/ˈkɑːmpənˌseɪt/
verb
-sates; -sated; -sating
somewhat formal
[no obj] :to provide something good as a balance against something bad or undesirable :to make up for some defect or weakness
[+ obj] :to give money or something else of value to (someone) in return for something (such as work) or as payment for something lost, damaged, etc.