2(2b-3c)-2[4c-2{c-3(b-c)}-3b]
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Step-by-step explanation:
4b-6c-2[4c-2{c-3b+3c}-3b]
=4b-6c-2[4c-2c+6b-6c-3b]
=4b-6c-8c+4c-12b+12c+6b
=4b-12b+6b-6c-8c+4c+12c
=10b-12b-14c+16c
=-2b+2c
=2c-2b
=2(c-b)
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