-8w+16=-4(w-9)

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Solution for -8w+16=-4(w-9) equation:


Simplifying
-8w + 16 = -4(w + -9)

Reorder the terms:
16 + -8w = -4(w + -9)

Reorder the terms:
16 + -8w = -4(-9 + w)
16 + -8w = (-9 * -4 + w * -4)
16 + -8w = (36 + -4w)

Solving
16 + -8w = 36 + -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.
16 + -8w + 4w = 36 + -4w + 4w

Combine like terms: -8w + 4w = -4w
16 + -4w = 36 + -4w + 4w

Combine like terms: -4w + 4w = 0
16 + -4w = 36 + 0
16 + -4w = 36

Add '-16' to each side of the equation.
16 + -16 + -4w = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -4w = 36 + -16
-4w = 36 + -16

Combine like terms: 36 + -16 = 20
-4w = 20

Divide each side by '-4'.
w = -5

Simplifying
w = -5

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