-4(-3w+9)-6w=2(w-8)-2

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Solution for -4(-3w+9)-6w=2(w-8)-2 equation:


Simplifying
-4(-3w + 9) + -6w = 2(w + -8) + -2

Reorder the terms:
-4(9 + -3w) + -6w = 2(w + -8) + -2
(9 * -4 + -3w * -4) + -6w = 2(w + -8) + -2
(-36 + 12w) + -6w = 2(w + -8) + -2

Combine like terms: 12w + -6w = 6w
-36 + 6w = 2(w + -8) + -2

Reorder the terms:
-36 + 6w = 2(-8 + w) + -2
-36 + 6w = (-8 * 2 + w * 2) + -2
-36 + 6w = (-16 + 2w) + -2

Reorder the terms:
-36 + 6w = -16 + -2 + 2w

Combine like terms: -16 + -2 = -18
-36 + 6w = -18 + 2w

Solving
-36 + 6w = -18 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-36 + 6w + -2w = -18 + 2w + -2w

Combine like terms: 6w + -2w = 4w
-36 + 4w = -18 + 2w + -2w

Combine like terms: 2w + -2w = 0
-36 + 4w = -18 + 0
-36 + 4w = -18

Add '36' to each side of the equation.
-36 + 36 + 4w = -18 + 36

Combine like terms: -36 + 36 = 0
0 + 4w = -18 + 36
4w = -18 + 36

Combine like terms: -18 + 36 = 18
4w = 18

Divide each side by '4'.
w = 4.5

Simplifying
w = 4.5

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