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12\left(-\frac{3}{4}\right)=b
Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.
\frac{12\left(-3\right)}{4}=b
Express 12\left(-\frac{3}{4}\right) as a single fraction.
\frac{-36}{4}=b
Multiply 12 and -3 to get -36.
-9=b
Divide -36 by 4 to get -9.
b=-9
Swap sides so that all variable terms are on the left hand side.