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a-6=4\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
a-6=\frac{4\times 3}{2}
Express 4\times \frac{3}{2} as a single fraction.
a-6=\frac{12}{2}
Multiply 4 and 3 to get 12.
a-6=6
Divide 12 by 2 to get 6.
a=6+6
Add 6 to both sides.
a=12
Add 6 and 6 to get 12.