3v+2-2(-8v-2)=3(v-2)

Solution for 3v+2-2(-8v-2)=3(v-2) equation:

Simplifying
3v + 2 + -2(-8v + -2) = 3(v + -2)

Reorder the terms:
3v + 2 + -2(-2 + -8v) = 3(v + -2)
3v + 2 + (-2 * -2 + -8v * -2) = 3(v + -2)
3v + 2 + (4 + 16v) = 3(v + -2)

Reorder the terms:
2 + 4 + 3v + 16v = 3(v + -2)

Combine like terms: 2 + 4 = 6
6 + 3v + 16v = 3(v + -2)

Combine like terms: 3v + 16v = 19v
6 + 19v = 3(v + -2)

Reorder the terms:
6 + 19v = 3(-2 + v)
6 + 19v = (-2 * 3 + v * 3)
6 + 19v = (-6 + 3v)

Solving
6 + 19v = -6 + 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 + 19v + -3v = -6 + 3v + -3v

Combine like terms: 19v + -3v = 16v
6 + 16v = -6 + 3v + -3v

Combine like terms: 3v + -3v = 0
6 + 16v = -6 + 0
6 + 16v = -6

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

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

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

Divide each side by '16'.
v = -0.75

Simplifying
v = -0.75