3w+4-w=5w-2(w-2)

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Solution for 3w+4-w=5w-2(w-2) equation:


Simplifying
3w + 4 + -1w = 5w + -2(w + -2)

Reorder the terms:
4 + 3w + -1w = 5w + -2(w + -2)

Combine like terms: 3w + -1w = 2w
4 + 2w = 5w + -2(w + -2)

Reorder the terms:
4 + 2w = 5w + -2(-2 + w)
4 + 2w = 5w + (-2 * -2 + w * -2)
4 + 2w = 5w + (4 + -2w)

Reorder the terms:
4 + 2w = 4 + 5w + -2w

Combine like terms: 5w + -2w = 3w
4 + 2w = 4 + 3w

Add '-4' to each side of the equation.
4 + -4 + 2w = 4 + -4 + 3w

Combine like terms: 4 + -4 = 0
0 + 2w = 4 + -4 + 3w
2w = 4 + -4 + 3w

Combine like terms: 4 + -4 = 0
2w = 0 + 3w
2w = 3w

Solving
2w = 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
2w + -3w = 3w + -3w

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

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

Divide each side by '-1'.
w = 0

Simplifying
w = 0

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