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

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

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

Reorder the terms:
2(2 + v) + -1v = 3(w + -1) + 9
(2 * 2 + v * 2) + -1v = 3(w + -1) + 9
(4 + 2v) + -1v = 3(w + -1) + 9

Combine like terms: 2v + -1v = 1v
4 + 1v = 3(w + -1) + 9

Reorder the terms:
4 + 1v = 3(-1 + w) + 9
4 + 1v = (-1 * 3 + w * 3) + 9
4 + 1v = (-3 + 3w) + 9

Reorder the terms:
4 + 1v = -3 + 9 + 3w

Combine like terms: -3 + 9 = 6
4 + 1v = 6 + 3w

Solving
4 + 1v = 6 + 3w

Solving for variable 'v'.

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

Add '-4' to each side of the equation.
4 + -4 + 1v = 6 + -4 + 3w

Combine like terms: 4 + -4 = 0
0 + 1v = 6 + -4 + 3w
1v = 6 + -4 + 3w

Combine like terms: 6 + -4 = 2
1v = 2 + 3w

Divide each side by '1'.
v = 2 + 3w

Simplifying
v = 2 + 3w