4(11-w)+9=-9(w-2)-8

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Solution for 4(11-w)+9=-9(w-2)-8 equation:


Simplifying
4(11 + -1w) + 9 = -9(w + -2) + -8
(11 * 4 + -1w * 4) + 9 = -9(w + -2) + -8
(44 + -4w) + 9 = -9(w + -2) + -8

Reorder the terms:
44 + 9 + -4w = -9(w + -2) + -8

Combine like terms: 44 + 9 = 53
53 + -4w = -9(w + -2) + -8

Reorder the terms:
53 + -4w = -9(-2 + w) + -8
53 + -4w = (-2 * -9 + w * -9) + -8
53 + -4w = (18 + -9w) + -8

Reorder the terms:
53 + -4w = 18 + -8 + -9w

Combine like terms: 18 + -8 = 10
53 + -4w = 10 + -9w

Solving
53 + -4w = 10 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
53 + -4w + 9w = 10 + -9w + 9w

Combine like terms: -4w + 9w = 5w
53 + 5w = 10 + -9w + 9w

Combine like terms: -9w + 9w = 0
53 + 5w = 10 + 0
53 + 5w = 10

Add '-53' to each side of the equation.
53 + -53 + 5w = 10 + -53

Combine like terms: 53 + -53 = 0
0 + 5w = 10 + -53
5w = 10 + -53

Combine like terms: 10 + -53 = -43
5w = -43

Divide each side by '5'.
w = -8.6

Simplifying
w = -8.6

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