(w+3)+(3w-5)=180

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Solution for (w+3)+(3w-5)=180 equation:


Simplifying
(w + 3) + (3w + -5) = 180

Reorder the terms:
(3 + w) + (3w + -5) = 180

Remove parenthesis around (3 + w)
3 + w + (3w + -5) = 180

Reorder the terms:
3 + w + (-5 + 3w) = 180

Remove parenthesis around (-5 + 3w)
3 + w + -5 + 3w = 180

Reorder the terms:
3 + -5 + w + 3w = 180

Combine like terms: 3 + -5 = -2
-2 + w + 3w = 180

Combine like terms: w + 3w = 4w
-2 + 4w = 180

Solving
-2 + 4w = 180

Solving for variable 'w'.

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

Add '2' to each side of the equation.
-2 + 2 + 4w = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 4w = 180 + 2
4w = 180 + 2

Combine like terms: 180 + 2 = 182
4w = 182

Divide each side by '4'.
w = 45.5

Simplifying
w = 45.5

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