-8(w-1)=9(w+4)

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Solution for -8(w-1)=9(w+4) equation:


Simplifying
-8(w + -1) = 9(w + 4)

Reorder the terms:
-8(-1 + w) = 9(w + 4)
(-1 * -8 + w * -8) = 9(w + 4)
(8 + -8w) = 9(w + 4)

Reorder the terms:
8 + -8w = 9(4 + w)
8 + -8w = (4 * 9 + w * 9)
8 + -8w = (36 + 9w)

Solving
8 + -8w = 36 + 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.
8 + -8w + -9w = 36 + 9w + -9w

Combine like terms: -8w + -9w = -17w
8 + -17w = 36 + 9w + -9w

Combine like terms: 9w + -9w = 0
8 + -17w = 36 + 0
8 + -17w = 36

Add '-8' to each side of the equation.
8 + -8 + -17w = 36 + -8

Combine like terms: 8 + -8 = 0
0 + -17w = 36 + -8
-17w = 36 + -8

Combine like terms: 36 + -8 = 28
-17w = 28

Divide each side by '-17'.
w = -1.647058824

Simplifying
w = -1.647058824

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