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

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

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

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

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

Reorder the terms:
-6 + -6v = 6 + -3v + -6v

Combine like terms: -3v + -6v = -9v
-6 + -6v = 6 + -9v

Solving
-6 + -6v = 6 + -9v

Solving for variable 'v'.

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

Add '9v' to each side of the equation.
-6 + -6v + 9v = 6 + -9v + 9v

Combine like terms: -6v + 9v = 3v
-6 + 3v = 6 + -9v + 9v

Combine like terms: -9v + 9v = 0
-6 + 3v = 6 + 0
-6 + 3v = 6

Add '6' to each side of the equation.
-6 + 6 + 3v = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 3v = 6 + 6
3v = 6 + 6

Combine like terms: 6 + 6 = 12
3v = 12

Divide each side by '3'.
v = 4

Simplifying
v = 4