11(10-w)+4=-4(w-3)-8

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Solution for 11(10-w)+4=-4(w-3)-8 equation: 


Simplifying
11(10 + -1w) + 4 = -4(w + -3) + -8
(10 * 11 + -1w * 11) + 4 = -4(w + -3) + -8
(110 + -11w) + 4 = -4(w + -3) + -8

Reorder the terms:
110 + 4 + -11w = -4(w + -3) + -8

Combine like terms: 110 + 4 = 114
114 + -11w = -4(w + -3) + -8

Reorder the terms:
114 + -11w = -4(-3 + w) + -8
114 + -11w = (-3 * -4 + w * -4) + -8
114 + -11w = (12 + -4w) + -8

Reorder the terms:
114 + -11w = 12 + -8 + -4w

Combine like terms: 12 + -8 = 4
114 + -11w = 4 + -4w

Solving
114 + -11w = 4 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
114 + -11w + 4w = 4 + -4w + 4w

Combine like terms: -11w + 4w = -7w
114 + -7w = 4 + -4w + 4w

Combine like terms: -4w + 4w = 0
114 + -7w = 4 + 0
114 + -7w = 4

Add '-114' to each side of the equation.
114 + -114 + -7w = 4 + -114

Combine like terms: 114 + -114 = 0
0 + -7w = 4 + -114
-7w = 4 + -114

Combine like terms: 4 + -114 = -110
-7w = -110

Divide each side by '-7'.
w = 15.71428571

Simplifying
w = 15.71428571

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