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

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

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

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

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

Combine like terms: 2 + 4 = 6
6 + v + 12v = 3(v + -3)

Combine like terms: v + 12v = 13v
6 + 13v = 3(v + -3)

Reorder the terms:
6 + 13v = 3(-3 + v)
6 + 13v = (-3 * 3 + v * 3)
6 + 13v = (-9 + 3v)

Solving
6 + 13v = -9 + 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 + 13v + -3v = -9 + 3v + -3v

Combine like terms: 13v + -3v = 10v
6 + 10v = -9 + 3v + -3v

Combine like terms: 3v + -3v = 0
6 + 10v = -9 + 0
6 + 10v = -9

Add '-6' to each side of the equation.
6 + -6 + 10v = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 10v = -9 + -6
10v = -9 + -6

Combine like terms: -9 + -6 = -15
10v = -15

Divide each side by '10'.
v = -1.5

Simplifying
v = -1.5