21v+7=74

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

21⋅4=(v+7)⋅7

Rewrite the equation as (v+7)⋅7=21⋅4.

(v+7)⋅7=21⋅4

Multiply 21 by 4.

(v+7)⋅7=84

Divide each term by 7 and simplify.

Divide each term in (v+7)⋅7=84 by 7.

(v+7)⋅77=847

Cancel the common factor of 7.

Cancel the common factor.

(v+7)⋅77=847

Divide v+7 by 1.

v+7=847

v+7=847

Divide 84 by 7.

v+7=12

v+7=12

Move all terms not containing v to the right side of the equation.

Subtract 7 from both sides of the equation.

v=12-7

Subtract 7 from 12.

v=5

v=5

v=5

Solve for v 21/(v+7)=7/4