4w-8(w-4)=9(w-9)

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


Simplifying
4w + -8(w + -4) = 9(w + -9)

Reorder the terms:
4w + -8(-4 + w) = 9(w + -9)
4w + (-4 * -8 + w * -8) = 9(w + -9)
4w + (32 + -8w) = 9(w + -9)

Reorder the terms:
32 + 4w + -8w = 9(w + -9)

Combine like terms: 4w + -8w = -4w
32 + -4w = 9(w + -9)

Reorder the terms:
32 + -4w = 9(-9 + w)
32 + -4w = (-9 * 9 + w * 9)
32 + -4w = (-81 + 9w)

Solving
32 + -4w = -81 + 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.
32 + -4w + -9w = -81 + 9w + -9w

Combine like terms: -4w + -9w = -13w
32 + -13w = -81 + 9w + -9w

Combine like terms: 9w + -9w = 0
32 + -13w = -81 + 0
32 + -13w = -81

Add '-32' to each side of the equation.
32 + -32 + -13w = -81 + -32

Combine like terms: 32 + -32 = 0
0 + -13w = -81 + -32
-13w = -81 + -32

Combine like terms: -81 + -32 = -113
-13w = -113

Divide each side by '-13'.
w = 8.692307692

Simplifying
w = 8.692307692

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