3(v+2)=-3(4v-1)+9v

Solution for 3(v+2)=-3(4v-1)+9v equation:

Simplifying
3(v + 2) = -3(4v + -1) + 9v

Reorder the terms:
3(2 + v) = -3(4v + -1) + 9v
(2 * 3 + v * 3) = -3(4v + -1) + 9v
(6 + 3v) = -3(4v + -1) + 9v

Reorder the terms:
6 + 3v = -3(-1 + 4v) + 9v
6 + 3v = (-1 * -3 + 4v * -3) + 9v
6 + 3v = (3 + -12v) + 9v

Combine like terms: -12v + 9v = -3v
6 + 3v = 3 + -3v

Solving
6 + 3v = 3 + -3v

Solving for variable 'v'.

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

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

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

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

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

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

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

Divide each side by '6'.
v = -0.5

Simplifying
v = -0.5