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All answers having "Assuage" as clue:

4 Character Answers:

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EASE



5 Character Answers:

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ALLAY

BELCH

SALVE

SLAKE



6 Character Answers:

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PACIFY

QUENCH

SOFTEN

SOLACE

SOOTHE



7 Character Answers:

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APPEASE

PLACATE

RELIEVE

SATISFY



8 Character Answers:

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MITIGATE

PALLIATE



9 Character Answers:

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ALLEVIATE