7v-6+3(2v+2)=-2(v+9)

Solution for 7v-6+3(2v+2)=-2(v+9) equation:

Simplifying
7v + -6 + 3(2v + 2) = -2(v + 9)

Reorder the terms:
7v + -6 + 3(2 + 2v) = -2(v + 9)
7v + -6 + (2 * 3 + 2v * 3) = -2(v + 9)
7v + -6 + (6 + 6v) = -2(v + 9)

Reorder the terms:
-6 + 6 + 7v + 6v = -2(v + 9)

Combine like terms: -6 + 6 = 0
0 + 7v + 6v = -2(v + 9)
7v + 6v = -2(v + 9)

Combine like terms: 7v + 6v = 13v
13v = -2(v + 9)

Reorder the terms:
13v = -2(9 + v)
13v = (9 * -2 + v * -2)
13v = (-18 + -2v)

Solving
13v = -18 + -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.
13v + 2v = -18 + -2v + 2v

Combine like terms: 13v + 2v = 15v
15v = -18 + -2v + 2v

Combine like terms: -2v + 2v = 0
15v = -18 + 0
15v = -18

Divide each side by '15'.
v = -1.2

Simplifying
v = -1.2