Used to describe reducing the strength of negative emotions or sensations. A heartfelt apology can assuage feelings of anger.
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Emotional Relief
Often applied in situations offering comfort or consolation to someone upset. Hearing her missing dog was found assuaged her distress.
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Not Eliminate
Doesn't necessarily mean to completely remove, but to lessen to a more bearable level. The medication assuaged his headache, but it didn't disappear completely.