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

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

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

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

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

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

Combine like terms: 3 + -3 = 0
0 + -3w = 3 + -3 + -1w
-3w = 3 + -3 + -1w

Combine like terms: 3 + -3 = 0
-3w = 0 + -1w
-3w = -1w

Solving
-3w = -1w

Solving for variable 'w'.

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

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

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

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

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

Simplifying
w = 0