4(w-4)-9=-5(-6w+2)-8w

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Solution for 4(w-4)-9=-5(-6w+2)-8w equation:


Simplifying
4(w + -4) + -9 = -5(-6w + 2) + -8w

Reorder the terms:
4(-4 + w) + -9 = -5(-6w + 2) + -8w
(-4 * 4 + w * 4) + -9 = -5(-6w + 2) + -8w
(-16 + 4w) + -9 = -5(-6w + 2) + -8w

Reorder the terms:
-16 + -9 + 4w = -5(-6w + 2) + -8w

Combine like terms: -16 + -9 = -25
-25 + 4w = -5(-6w + 2) + -8w

Reorder the terms:
-25 + 4w = -5(2 + -6w) + -8w
-25 + 4w = (2 * -5 + -6w * -5) + -8w
-25 + 4w = (-10 + 30w) + -8w

Combine like terms: 30w + -8w = 22w
-25 + 4w = -10 + 22w

Solving
-25 + 4w = -10 + 22w

Solving for variable 'w'.

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

Add '-22w' to each side of the equation.
-25 + 4w + -22w = -10 + 22w + -22w

Combine like terms: 4w + -22w = -18w
-25 + -18w = -10 + 22w + -22w

Combine like terms: 22w + -22w = 0
-25 + -18w = -10 + 0
-25 + -18w = -10

Add '25' to each side of the equation.
-25 + 25 + -18w = -10 + 25

Combine like terms: -25 + 25 = 0
0 + -18w = -10 + 25
-18w = -10 + 25

Combine like terms: -10 + 25 = 15
-18w = 15

Divide each side by '-18'.
w = -0.8333333333

Simplifying
w = -0.8333333333

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