(4w-28)+(11w+13)=189

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Solution for (4w-28)+(11w+13)=189 equation:


Simplifying
(4w + -28) + (11w + 13) = 189

Reorder the terms:
(-28 + 4w) + (11w + 13) = 189

Remove parenthesis around (-28 + 4w)
-28 + 4w + (11w + 13) = 189

Reorder the terms:
-28 + 4w + (13 + 11w) = 189

Remove parenthesis around (13 + 11w)
-28 + 4w + 13 + 11w = 189

Reorder the terms:
-28 + 13 + 4w + 11w = 189

Combine like terms: -28 + 13 = -15
-15 + 4w + 11w = 189

Combine like terms: 4w + 11w = 15w
-15 + 15w = 189

Solving
-15 + 15w = 189

Solving for variable 'w'.

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

Add '15' to each side of the equation.
-15 + 15 + 15w = 189 + 15

Combine like terms: -15 + 15 = 0
0 + 15w = 189 + 15
15w = 189 + 15

Combine like terms: 189 + 15 = 204
15w = 204

Divide each side by '15'.
w = 13.6

Simplifying
w = 13.6

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