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

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

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

Reorder the terms:
2(3 + 6v) = -3(16 + -3v)
(3 * 2 + 6v * 2) = -3(16 + -3v)
(6 + 12v) = -3(16 + -3v)
6 + 12v = (16 * -3 + -3v * -3)
6 + 12v = (-48 + 9v)

Solving
6 + 12v = -48 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
6 + 12v + -9v = -48 + 9v + -9v

Combine like terms: 12v + -9v = 3v
6 + 3v = -48 + 9v + -9v

Combine like terms: 9v + -9v = 0
6 + 3v = -48 + 0
6 + 3v = -48

Add '-6' to each side of the equation.
6 + -6 + 3v = -48 + -6

Combine like terms: 6 + -6 = 0
0 + 3v = -48 + -6
3v = -48 + -6

Combine like terms: -48 + -6 = -54
3v = -54

Divide each side by '3'.
v = -18

Simplifying
v = -18