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

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

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

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

Reorder the terms:
6 + 2v = -4(-6 + v)
6 + 2v = (-6 * -4 + v * -4)
6 + 2v = (24 + -4v)

Solving
6 + 2v = 24 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
6 + 2v + 4v = 24 + -4v + 4v

Combine like terms: 2v + 4v = 6v
6 + 6v = 24 + -4v + 4v

Combine like terms: -4v + 4v = 0
6 + 6v = 24 + 0
6 + 6v = 24

Add '-6' to each side of the equation.
6 + -6 + 6v = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 6v = 24 + -6
6v = 24 + -6

Combine like terms: 24 + -6 = 18
6v = 18

Divide each side by '6'.
v = 3

Simplifying
v = 3