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

Solution for 2(6v+3)=1v-3(16-3v) equation:

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

Reorder the terms:
2(3 + 6v) = 1v + -3(16 + -3v)
(3 * 2 + 6v * 2) = 1v + -3(16 + -3v)
(6 + 12v) = 1v + -3(16 + -3v)
6 + 12v = 1v + (16 * -3 + -3v * -3)
6 + 12v = 1v + (-48 + 9v)

Reorder the terms:
6 + 12v = -48 + 1v + 9v

Combine like terms: 1v + 9v = 10v
6 + 12v = -48 + 10v

Solving
6 + 12v = -48 + 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
6 + 12v + -10v = -48 + 10v + -10v

Combine like terms: 12v + -10v = 2v
6 + 2v = -48 + 10v + -10v

Combine like terms: 10v + -10v = 0
6 + 2v = -48 + 0
6 + 2v = -48

Add '-6' to each side of the equation.
6 + -6 + 2v = -48 + -6

Combine like terms: 6 + -6 = 0
0 + 2v = -48 + -6
2v = -48 + -6

Combine like terms: -48 + -6 = -54
2v = -54

Divide each side by '2'.
v = -27

Simplifying
v = -27