180=w+w+(4w-6)

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Solution for 180=w+w+(4w-6) equation:


Simplifying
180 = w + w + (4w + -6)

Reorder the terms:
180 = w + w + (-6 + 4w)

Remove parenthesis around (-6 + 4w)
180 = w + w + -6 + 4w

Reorder the terms:
180 = -6 + w + w + 4w

Combine like terms: w + w = 2w
180 = -6 + 2w + 4w

Combine like terms: 2w + 4w = 6w
180 = -6 + 6w

Solving
180 = -6 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
180 + -6w = -6 + 6w + -6w

Combine like terms: 6w + -6w = 0
180 + -6w = -6 + 0
180 + -6w = -6

Add '-180' to each side of the equation.
180 + -180 + -6w = -6 + -180

Combine like terms: 180 + -180 = 0
0 + -6w = -6 + -180
-6w = -6 + -180

Combine like terms: -6 + -180 = -186
-6w = -186

Divide each side by '-6'.
w = 31

Simplifying
w = 31

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