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60=v\times 4+v\times 3
Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 60v, the least common multiple of v,60.
60=7v
Combine v\times 4 and v\times 3 to get 7v.
7v=60
Swap sides so that all variable terms are on the left hand side.
v=\frac{60}{7}
Divide both sides by 7.