4(v-1)=9v+4-2(-2v-2)

Solution for 4(v-1)=9v+4-2(-2v-2) equation:

Simplifying
4(v + -1) = 9v + 4 + -2(-2v + -2)

Reorder the terms:
4(-1 + v) = 9v + 4 + -2(-2v + -2)
(-1 * 4 + v * 4) = 9v + 4 + -2(-2v + -2)
(-4 + 4v) = 9v + 4 + -2(-2v + -2)

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

Reorder the terms:
-4 + 4v = 4 + 4 + 9v + 4v

Combine like terms: 4 + 4 = 8
-4 + 4v = 8 + 9v + 4v

Combine like terms: 9v + 4v = 13v
-4 + 4v = 8 + 13v

Solving
-4 + 4v = 8 + 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 + 4v + -13v = 8 + 13v + -13v

Combine like terms: 4v + -13v = -9v
-4 + -9v = 8 + 13v + -13v

Combine like terms: 13v + -13v = 0
-4 + -9v = 8 + 0
-4 + -9v = 8

Add '4' to each side of the equation.
-4 + 4 + -9v = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -9v = 8 + 4
-9v = 8 + 4

Combine like terms: 8 + 4 = 12
-9v = 12

Divide each side by '-9'.
v = -1.333333333

Simplifying
v = -1.333333333