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

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

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

Reorder the terms:
-2(2 + v) = 9v + -6 + 2(2v + 6)
(2 * -2 + v * -2) = 9v + -6 + 2(2v + 6)
(-4 + -2v) = 9v + -6 + 2(2v + 6)

Reorder the terms:
-4 + -2v = 9v + -6 + 2(6 + 2v)
-4 + -2v = 9v + -6 + (6 * 2 + 2v * 2)
-4 + -2v = 9v + -6 + (12 + 4v)

Reorder the terms:
-4 + -2v = -6 + 12 + 9v + 4v

Combine like terms: -6 + 12 = 6
-4 + -2v = 6 + 9v + 4v

Combine like terms: 9v + 4v = 13v
-4 + -2v = 6 + 13v

Solving
-4 + -2v = 6 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
-4 + -2v + -13v = 6 + 13v + -13v

Combine like terms: -2v + -13v = -15v
-4 + -15v = 6 + 13v + -13v

Combine like terms: 13v + -13v = 0
-4 + -15v = 6 + 0
-4 + -15v = 6

Add '4' to each side of the equation.
-4 + 4 + -15v = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -15v = 6 + 4
-15v = 6 + 4

Combine like terms: 6 + 4 = 10
-15v = 10

Divide each side by '-15'.
v = -0.6666666667

Simplifying
v = -0.6666666667