2v+7(v+6)=15

Solution for 2v+7(v+6)=15 equation:

Simplifying
2v + 7(v + 6) = 15

Reorder the terms:
2v + 7(6 + v) = 15
2v + (6 * 7 + v * 7) = 15
2v + (42 + 7v) = 15

Reorder the terms:
42 + 2v + 7v = 15

Combine like terms: 2v + 7v = 9v
42 + 9v = 15

Solving
42 + 9v = 15

Solving for variable 'v'.

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

Add '-42' to each side of the equation.
42 + -42 + 9v = 15 + -42

Combine like terms: 42 + -42 = 0
0 + 9v = 15 + -42
9v = 15 + -42

Combine like terms: 15 + -42 = -27
9v = -27

Divide each side by '9'.
v = -3

Simplifying
v = -3