-3(-4w+5)-2w=6(w-4)-9

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Solution for -3(-4w+5)-2w=6(w-4)-9 equation:


Simplifying
-3(-4w + 5) + -2w = 6(w + -4) + -9

Reorder the terms:
-3(5 + -4w) + -2w = 6(w + -4) + -9
(5 * -3 + -4w * -3) + -2w = 6(w + -4) + -9
(-15 + 12w) + -2w = 6(w + -4) + -9

Combine like terms: 12w + -2w = 10w
-15 + 10w = 6(w + -4) + -9

Reorder the terms:
-15 + 10w = 6(-4 + w) + -9
-15 + 10w = (-4 * 6 + w * 6) + -9
-15 + 10w = (-24 + 6w) + -9

Reorder the terms:
-15 + 10w = -24 + -9 + 6w

Combine like terms: -24 + -9 = -33
-15 + 10w = -33 + 6w

Solving
-15 + 10w = -33 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-15 + 10w + -6w = -33 + 6w + -6w

Combine like terms: 10w + -6w = 4w
-15 + 4w = -33 + 6w + -6w

Combine like terms: 6w + -6w = 0
-15 + 4w = -33 + 0
-15 + 4w = -33

Add '15' to each side of the equation.
-15 + 15 + 4w = -33 + 15

Combine like terms: -15 + 15 = 0
0 + 4w = -33 + 15
4w = -33 + 15

Combine like terms: -33 + 15 = -18
4w = -18

Divide each side by '4'.
w = -4.5

Simplifying
w = -4.5

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