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All answers having "Moderates" as clue:

4 Character Answers:

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EBBS



5 Character Answers:

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BATES

COOLS

EASES

SLOWS

TONES



6 Character Answers:

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ABATES



7 Character Answers:

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EASESUP

LEAVENS

LESSENS

TEMPERS



9 Character Answers:

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MITIGATES

SLACKSOFF