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

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

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

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

Reorder the terms:
2 + -3 + 2w + -3w = -2w

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

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

Solving
-1 + -1w = -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-1 + -1w + 2w = -2w + 2w

Combine like terms: -1w + 2w = 1w
-1 + 1w = -2w + 2w

Combine like terms: -2w + 2w = 0
-1 + 1w = 0

Add '1' to each side of the equation.
-1 + 1 + 1w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1w = 0 + 1
1w = 0 + 1

Combine like terms: 0 + 1 = 1
1w = 1

Divide each side by '1'.
w = 1

Simplifying
w = 1