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v=8v\times \frac{1}{4}+8
Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8v, the least common multiple of 8,4,v.
v=\frac{8}{4}v+8
Multiply 8 and \frac{1}{4} to get \frac{8}{4}.
v=2v+8
Divide 8 by 4 to get 2.
v-2v=8
Subtract 2v from both sides.
-v=8
Combine v and -2v to get -v.
v=-8
Multiply both sides by -1.