(5+w)(w)+60=(8+w)(w+3)

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Solution for (5+w)(w)+60=(8+w)(w+3) equation: 


Simplifying
(5 + w)(w) + 60 = (8 + w)(w + 3)

Reorder the terms for easier multiplication:
w(5 + w) + 60 = (8 + w)(w + 3)
(5 * w + w * w) + 60 = (8 + w)(w + 3)
(5w + w2) + 60 = (8 + w)(w + 3)

Reorder the terms:
60 + 5w + w2 = (8 + w)(w + 3)

Reorder the terms:
60 + 5w + w2 = (8 + w)(3 + w)

Multiply (8 + w) * (3 + w)
60 + 5w + w2 = (8(3 + w) + w(3 + w))
60 + 5w + w2 = ((3 * 8 + w * 8) + w(3 + w))
60 + 5w + w2 = ((24 + 8w) + w(3 + w))
60 + 5w + w2 = (24 + 8w + (3 * w + w * w))
60 + 5w + w2 = (24 + 8w + (3w + w2))

Combine like terms: 8w + 3w = 11w
60 + 5w + w2 = (24 + 11w + w2)

Add '-1w2' to each side of the equation.
60 + 5w + w2 + -1w2 = 24 + 11w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
60 + 5w + 0 = 24 + 11w + w2 + -1w2
60 + 5w = 24 + 11w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
60 + 5w = 24 + 11w + 0
60 + 5w = 24 + 11w

Solving
60 + 5w = 24 + 11w

Solving for variable 'w'.

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

Add '-11w' to each side of the equation.
60 + 5w + -11w = 24 + 11w + -11w

Combine like terms: 5w + -11w = -6w
60 + -6w = 24 + 11w + -11w

Combine like terms: 11w + -11w = 0
60 + -6w = 24 + 0
60 + -6w = 24

Add '-60' to each side of the equation.
60 + -60 + -6w = 24 + -60

Combine like terms: 60 + -60 = 0
0 + -6w = 24 + -60
-6w = 24 + -60

Combine like terms: 24 + -60 = -36
-6w = -36

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

Simplifying
w = 6

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