2(6v+3)=18-(16-3v)

Solution for 2(6v+3)=18-(16-3v) equation:

Simplifying
2(6v + 3) = 18 + -1(16 + -3v)

Reorder the terms:
2(3 + 6v) = 18 + -1(16 + -3v)
(3 * 2 + 6v * 2) = 18 + -1(16 + -3v)
(6 + 12v) = 18 + -1(16 + -3v)
6 + 12v = 18 + (16 * -1 + -3v * -1)
6 + 12v = 18 + (-16 + 3v)

Combine like terms: 18 + -16 = 2
6 + 12v = 2 + 3v

Solving
6 + 12v = 2 + 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 + 12v + -3v = 2 + 3v + -3v

Combine like terms: 12v + -3v = 9v
6 + 9v = 2 + 3v + -3v

Combine like terms: 3v + -3v = 0
6 + 9v = 2 + 0
6 + 9v = 2

Add '-6' to each side of the equation.
6 + -6 + 9v = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 9v = 2 + -6
9v = 2 + -6

Combine like terms: 2 + -6 = -4
9v = -4

Divide each side by '9'.
v = -0.4444444444

Simplifying
v = -0.4444444444