3v-6+2(2v+6)=-3(v+4)

Solution for 3v-6+2(2v+6)=-3(v+4) equation:

Simplifying
3v + -6 + 2(2v + 6) = -3(v + 4)

Reorder the terms:
3v + -6 + 2(6 + 2v) = -3(v + 4)
3v + -6 + (6 * 2 + 2v * 2) = -3(v + 4)
3v + -6 + (12 + 4v) = -3(v + 4)

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

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

Combine like terms: 3v + 4v = 7v
6 + 7v = -3(v + 4)

Reorder the terms:
6 + 7v = -3(4 + v)
6 + 7v = (4 * -3 + v * -3)
6 + 7v = (-12 + -3v)

Solving
6 + 7v = -12 + -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 + 7v + 3v = -12 + -3v + 3v

Combine like terms: 7v + 3v = 10v
6 + 10v = -12 + -3v + 3v

Combine like terms: -3v + 3v = 0
6 + 10v = -12 + 0
6 + 10v = -12

Add '-6' to each side of the equation.
6 + -6 + 10v = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 10v = -12 + -6
10v = -12 + -6

Combine like terms: -12 + -6 = -18
10v = -18

Divide each side by '10'.
v = -1.8

Simplifying
v = -1.8