3v-3+3(3v+3)=-4(v+1)

Solution for 3v-3+3(3v+3)=-4(v+1) equation:

Simplifying
3v + -3 + 3(3v + 3) = -4(v + 1)

Reorder the terms:
3v + -3 + 3(3 + 3v) = -4(v + 1)
3v + -3 + (3 * 3 + 3v * 3) = -4(v + 1)
3v + -3 + (9 + 9v) = -4(v + 1)

Reorder the terms:
-3 + 9 + 3v + 9v = -4(v + 1)

Combine like terms: -3 + 9 = 6
6 + 3v + 9v = -4(v + 1)

Combine like terms: 3v + 9v = 12v
6 + 12v = -4(v + 1)

Reorder the terms:
6 + 12v = -4(1 + v)
6 + 12v = (1 * -4 + v * -4)
6 + 12v = (-4 + -4v)

Solving
6 + 12v = -4 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
6 + 12v + 4v = -4 + -4v + 4v

Combine like terms: 12v + 4v = 16v
6 + 16v = -4 + -4v + 4v

Combine like terms: -4v + 4v = 0
6 + 16v = -4 + 0
6 + 16v = -4

Add '-6' to each side of the equation.
6 + -6 + 16v = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 16v = -4 + -6
16v = -4 + -6

Combine like terms: -4 + -6 = -10
16v = -10

Divide each side by '16'.
v = -0.625

Simplifying
v = -0.625