Crossword Genius

Reduce noise with carpet after a show of indifference (5)

Ross

I believe the answer is:

shrug

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'a show of indifference' is the definition.
(I've seen this in another clue)

'reduce noise with carpet after' is the wordplay.
'reduce noise with' becomes 'sh' (I can't explain this - if you can you should believe this answer much more).
'carpet' becomes 'rug' (synonyms).
'after' means one lot of letters go next to another.
'sh'+'rug'='SHRUG'

Can you help me to learn more?

(Other definitions for shrug that I've seen before include "Affect indifference" , "Gesture with one's shoulders" , "____ off, dismiss" , "Shoulder gesture" , "Gesture of resignation" .)

I've seen this clue in the Sydney Morning Herald.
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