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

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


Simplifying
8(4 + -1w) + 4 = -4(w + -4) + -3
(4 * 8 + -1w * 8) + 4 = -4(w + -4) + -3
(32 + -8w) + 4 = -4(w + -4) + -3

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

Combine like terms: 32 + 4 = 36
36 + -8w = -4(w + -4) + -3

Reorder the terms:
36 + -8w = -4(-4 + w) + -3
36 + -8w = (-4 * -4 + w * -4) + -3
36 + -8w = (16 + -4w) + -3

Reorder the terms:
36 + -8w = 16 + -3 + -4w

Combine like terms: 16 + -3 = 13
36 + -8w = 13 + -4w

Solving
36 + -8w = 13 + -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.
36 + -8w + 4w = 13 + -4w + 4w

Combine like terms: -8w + 4w = -4w
36 + -4w = 13 + -4w + 4w

Combine like terms: -4w + 4w = 0
36 + -4w = 13 + 0
36 + -4w = 13

Add '-36' to each side of the equation.
36 + -36 + -4w = 13 + -36

Combine like terms: 36 + -36 = 0
0 + -4w = 13 + -36
-4w = 13 + -36

Combine like terms: 13 + -36 = -23
-4w = -23

Divide each side by '-4'.
w = 5.75

Simplifying
w = 5.75

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