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3\left(v-2\right)=2v-3
Variable v cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 3\left(2v-3\right), the least common multiple of 2v-3,3.
3v-6=2v-3
Use the distributive property to multiply 3 by v-2.
3v-6-2v=-3
Subtract 2v from both sides.
v-6=-3
Combine 3v and -2v to get v.
v=-3+6
Add 6 to both sides.
v=3
Add -3 and 6 to get 3.