2(v+3)-v=3(v-1)+9

Solution for 2(v+3)-v=3(v-1)+9 equation:

Simplifying
2(v + 3) + -1v = 3(v + -1) + 9

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

Combine like terms: 2v + -1v = 1v
6 + 1v = 3(v + -1) + 9

Reorder the terms:
6 + 1v = 3(-1 + v) + 9
6 + 1v = (-1 * 3 + v * 3) + 9
6 + 1v = (-3 + 3v) + 9

Reorder the terms:
6 + 1v = -3 + 9 + 3v

Combine like terms: -3 + 9 = 6
6 + 1v = 6 + 3v

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

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

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

Solving
1v = 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.
1v + -3v = 3v + -3v

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

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

Divide each side by '-2'.
v = 0

Simplifying
v = 0