-8(w-4)-(9-3w)=-12w

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Solution for -8(w-4)-(9-3w)=-12w equation:


Simplifying
-8(w + -4) + -1(9 + -3w) = -12w

Reorder the terms:
-8(-4 + w) + -1(9 + -3w) = -12w
(-4 * -8 + w * -8) + -1(9 + -3w) = -12w
(32 + -8w) + -1(9 + -3w) = -12w
32 + -8w + (9 * -1 + -3w * -1) = -12w
32 + -8w + (-9 + 3w) = -12w

Reorder the terms:
32 + -9 + -8w + 3w = -12w

Combine like terms: 32 + -9 = 23
23 + -8w + 3w = -12w

Combine like terms: -8w + 3w = -5w
23 + -5w = -12w

Solving
23 + -5w = -12w

Solving for variable 'w'.

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

Add '12w' to each side of the equation.
23 + -5w + 12w = -12w + 12w

Combine like terms: -5w + 12w = 7w
23 + 7w = -12w + 12w

Combine like terms: -12w + 12w = 0
23 + 7w = 0

Add '-23' to each side of the equation.
23 + -23 + 7w = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 7w = 0 + -23
7w = 0 + -23

Combine like terms: 0 + -23 = -23
7w = -23

Divide each side by '7'.
w = -3.285714286

Simplifying
w = -3.285714286

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