(w+23)+(4w+7)=180

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Solution for (w+23)+(4w+7)=180 equation:


Simplifying
(w + 23) + (4w + 7) = 180

Reorder the terms:
(23 + w) + (4w + 7) = 180

Remove parenthesis around (23 + w)
23 + w + (4w + 7) = 180

Reorder the terms:
23 + w + (7 + 4w) = 180

Remove parenthesis around (7 + 4w)
23 + w + 7 + 4w = 180

Reorder the terms:
23 + 7 + w + 4w = 180

Combine like terms: 23 + 7 = 30
30 + w + 4w = 180

Combine like terms: w + 4w = 5w
30 + 5w = 180

Solving
30 + 5w = 180

Solving for variable 'w'.

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

Add '-30' to each side of the equation.
30 + -30 + 5w = 180 + -30

Combine like terms: 30 + -30 = 0
0 + 5w = 180 + -30
5w = 180 + -30

Combine like terms: 180 + -30 = 150
5w = 150

Divide each side by '5'.
w = 30

Simplifying
w = 30

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