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v+7=8\times \frac{9}{4}
Multiply both sides by \frac{9}{4}, the reciprocal of \frac{4}{9}.
v+7=\frac{8\times 9}{4}
Express 8\times \frac{9}{4} as a single fraction.
v+7=\frac{72}{4}
Multiply 8 and 9 to get 72.
v+7=18
Divide 72 by 4 to get 18.
v=18-7
Subtract 7 from both sides.
v=11
Subtract 7 from 18 to get 11.