2v+6=-2(v-9)

Solution for 2v+6=-2(v-9) equation:

Simplifying
2v + 6 = -2(v + -9)

Reorder the terms:
6 + 2v = -2(v + -9)

Reorder the terms:
6 + 2v = -2(-9 + v)
6 + 2v = (-9 * -2 + v * -2)
6 + 2v = (18 + -2v)

Solving
6 + 2v = 18 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
6 + 2v + 2v = 18 + -2v + 2v

Combine like terms: 2v + 2v = 4v
6 + 4v = 18 + -2v + 2v

Combine like terms: -2v + 2v = 0
6 + 4v = 18 + 0
6 + 4v = 18

Add '-6' to each side of the equation.
6 + -6 + 4v = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 4v = 18 + -6
4v = 18 + -6

Combine like terms: 18 + -6 = 12
4v = 12

Divide each side by '4'.
v = 3

Simplifying
v = 3