4v-4+5(2v+2)=-2(v+3)

Solution for 4v-4+5(2v+2)=-2(v+3) equation:

Simplifying
4v + -4 + 5(2v + 2) = -2(v + 3)

Reorder the terms:
4v + -4 + 5(2 + 2v) = -2(v + 3)
4v + -4 + (2 * 5 + 2v * 5) = -2(v + 3)
4v + -4 + (10 + 10v) = -2(v + 3)

Reorder the terms:
-4 + 10 + 4v + 10v = -2(v + 3)

Combine like terms: -4 + 10 = 6
6 + 4v + 10v = -2(v + 3)

Combine like terms: 4v + 10v = 14v
6 + 14v = -2(v + 3)

Reorder the terms:
6 + 14v = -2(3 + v)
6 + 14v = (3 * -2 + v * -2)
6 + 14v = (-6 + -2v)

Solving
6 + 14v = -6 + -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.
6 + 14v + 2v = -6 + -2v + 2v

Combine like terms: 14v + 2v = 16v
6 + 16v = -6 + -2v + 2v

Combine like terms: -2v + 2v = 0
6 + 16v = -6 + 0
6 + 16v = -6

Add '-6' to each side of the equation.
6 + -6 + 16v = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 16v = -6 + -6
16v = -6 + -6

Combine like terms: -6 + -6 = -12
16v = -12

Divide each side by '16'.
v = -0.75

Simplifying
v = -0.75