(a-4b)/(3a-2b)=-2/3

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(a-4b)/(3a-2b)=-2/3

(a-4b)/(3a-2b)=-2/3
(a-4b)/(3a-2b)=-2/3

(a-4b)/(3a-2b)=-2/3
(a-4b)/(3a-2b)=-2/3
-2(3a-2b)=3(a-4b)
4b-6a=3a-12b
16b=9a
16/9=a/b

(a-4b)/(3a-2b)=-2/3
=> -2(3a-2b)=3(a-4b)
=> 8b=3a
=> b/a=3/8