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\frac{2}{3}\times 6=v-3
Multiply both sides by 6.
\frac{2\times 6}{3}=v-3
Express \frac{2}{3}\times 6 as a single fraction.
\frac{12}{3}=v-3
Multiply 2 and 6 to get 12.
4=v-3
Divide 12 by 3 to get 4.
v-3=4
Swap sides so that all variable terms are on the left hand side.
v=4+3
Add 3 to both sides.
v=7
Add 4 and 3 to get 7.