2(w-18)+(w-16)+w=180

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Solution for 2(w-18)+(w-16)+w=180 equation: 


Simplifying
2(w + -18) + (w + -16) + w = 180

Reorder the terms:
2(-18 + w) + (w + -16) + w = 180
(-18 * 2 + w * 2) + (w + -16) + w = 180
(-36 + 2w) + (w + -16) + w = 180

Reorder the terms:
-36 + 2w + (-16 + w) + w = 180

Remove parenthesis around (-16 + w)
-36 + 2w + -16 + w + w = 180

Reorder the terms:
-36 + -16 + 2w + w + w = 180

Combine like terms: -36 + -16 = -52
-52 + 2w + w + w = 180

Combine like terms: 2w + w = 3w
-52 + 3w + w = 180

Combine like terms: 3w + w = 4w
-52 + 4w = 180

Solving
-52 + 4w = 180

Solving for variable 'w'.

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

Add '52' to each side of the equation.
-52 + 52 + 4w = 180 + 52

Combine like terms: -52 + 52 = 0
0 + 4w = 180 + 52
4w = 180 + 52

Combine like terms: 180 + 52 = 232
4w = 232

Divide each side by '4'.
w = 58

Simplifying
w = 58

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