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

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

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

Reorder the terms:
6 + 2v = 3 + 2v + -3v

Combine like terms: 2v + -3v = -1v
6 + 2v = 3 + -1v

Solving
6 + 2v = 3 + -1v

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
6 + 2v + v = 3 + -1v + v

Combine like terms: 2v + v = 3v
6 + 3v = 3 + -1v + v

Combine like terms: -1v + v = 0
6 + 3v = 3 + 0
6 + 3v = 3

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

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

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

Divide each side by '3'.
v = -1

Simplifying
v = -1