4(w-8)-1=-3(-6w+8)-8w

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Solution for 4(w-8)-1=-3(-6w+8)-8w equation: 


Simplifying
4(w + -8) + -1 = -3(-6w + 8) + -8w

Reorder the terms:
4(-8 + w) + -1 = -3(-6w + 8) + -8w
(-8 * 4 + w * 4) + -1 = -3(-6w + 8) + -8w
(-32 + 4w) + -1 = -3(-6w + 8) + -8w

Reorder the terms:
-32 + -1 + 4w = -3(-6w + 8) + -8w

Combine like terms: -32 + -1 = -33
-33 + 4w = -3(-6w + 8) + -8w

Reorder the terms:
-33 + 4w = -3(8 + -6w) + -8w
-33 + 4w = (8 * -3 + -6w * -3) + -8w
-33 + 4w = (-24 + 18w) + -8w

Combine like terms: 18w + -8w = 10w
-33 + 4w = -24 + 10w

Solving
-33 + 4w = -24 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
-33 + 4w + -10w = -24 + 10w + -10w

Combine like terms: 4w + -10w = -6w
-33 + -6w = -24 + 10w + -10w

Combine like terms: 10w + -10w = 0
-33 + -6w = -24 + 0
-33 + -6w = -24

Add '33' to each side of the equation.
-33 + 33 + -6w = -24 + 33

Combine like terms: -33 + 33 = 0
0 + -6w = -24 + 33
-6w = -24 + 33

Combine like terms: -24 + 33 = 9
-6w = 9

Divide each side by '-6'.
w = -1.5

Simplifying
w = -1.5

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