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3\times 3v-1=5\times 2v
Multiply both sides of the equation by 15, the least common multiple of 5,15,3.
9v-1=5\times 2v
Multiply 3 and 3 to get 9.
9v-1=10v
Multiply 5 and 2 to get 10.
9v-1-10v=0
Subtract 10v from both sides.
-v-1=0
Combine 9v and -10v to get -v.
-v=1
Add 1 to both sides. Anything plus zero gives itself.
v=-1
Multiply both sides by -1.