3v-2+2(6v+4)=-3(v+1)

Solution for 3v-2+2(6v+4)=-3(v+1) equation:

Simplifying
3v + -2 + 2(6v + 4) = -3(v + 1)

Reorder the terms:
3v + -2 + 2(4 + 6v) = -3(v + 1)
3v + -2 + (4 * 2 + 6v * 2) = -3(v + 1)
3v + -2 + (8 + 12v) = -3(v + 1)

Reorder the terms:
-2 + 8 + 3v + 12v = -3(v + 1)

Combine like terms: -2 + 8 = 6
6 + 3v + 12v = -3(v + 1)

Combine like terms: 3v + 12v = 15v
6 + 15v = -3(v + 1)

Reorder the terms:
6 + 15v = -3(1 + v)
6 + 15v = (1 * -3 + v * -3)
6 + 15v = (-3 + -3v)

Solving
6 + 15v = -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 + 15v + 3v = -3 + -3v + 3v

Combine like terms: 15v + 3v = 18v
6 + 18v = -3 + -3v + 3v

Combine like terms: -3v + 3v = 0
6 + 18v = -3 + 0
6 + 18v = -3

Add '-6' to each side of the equation.
6 + -6 + 18v = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 18v = -3 + -6
18v = -3 + -6

Combine like terms: -3 + -6 = -9
18v = -9

Divide each side by '18'.
v = -0.5

Simplifying
v = -0.5