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6=\frac{-3\left(-4\right)}{4}+b
Express -\frac{3}{4}\left(-4\right) as a single fraction.
6=\frac{12}{4}+b
Multiply -3 and -4 to get 12.
6=3+b
Divide 12 by 4 to get 3.
3+b=6
Swap sides so that all variable terms are on the left hand side.
b=6-3
Subtract 3 from both sides.
b=3
Subtract 3 from 6 to get 3.