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

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


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

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

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

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

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

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

Solving
-4 + 4w = 4 + 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.
-4 + 4w + -3w = 4 + 3w + -3w

Combine like terms: 4w + -3w = 1w
-4 + 1w = 4 + 3w + -3w

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

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

Combine like terms: -4 + 4 = 0
0 + 1w = 4 + 4
1w = 4 + 4

Combine like terms: 4 + 4 = 8
1w = 8

Divide each side by '1'.
w = 8

Simplifying
w = 8

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