7(v+6)=2v+37

Solution for 7(v+6)=2v+37 equation:

Simplifying
7(v + 6) = 2v + 37

Reorder the terms:
7(6 + v) = 2v + 37
(6 * 7 + v * 7) = 2v + 37
(42 + 7v) = 2v + 37

Reorder the terms:
42 + 7v = 37 + 2v

Solving
42 + 7v = 37 + 2v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-2v' to each side of the equation.
42 + 7v + -2v = 37 + 2v + -2v

Combine like terms: 7v + -2v = 5v
42 + 5v = 37 + 2v + -2v

Combine like terms: 2v + -2v = 0
42 + 5v = 37 + 0
42 + 5v = 37

Add '-42' to each side of the equation.
42 + -42 + 5v = 37 + -42

Combine like terms: 42 + -42 = 0
0 + 5v = 37 + -42
5v = 37 + -42

Combine like terms: 37 + -42 = -5
5v = -5

Divide each side by '5'.
v = -1

Simplifying
v = -1