-3(-4w+9)-9w=7(w-3)-4

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Solution for -3(-4w+9)-9w=7(w-3)-4 equation:


Simplifying
-3(-4w + 9) + -9w = 7(w + -3) + -4

Reorder the terms:
-3(9 + -4w) + -9w = 7(w + -3) + -4
(9 * -3 + -4w * -3) + -9w = 7(w + -3) + -4
(-27 + 12w) + -9w = 7(w + -3) + -4

Combine like terms: 12w + -9w = 3w
-27 + 3w = 7(w + -3) + -4

Reorder the terms:
-27 + 3w = 7(-3 + w) + -4
-27 + 3w = (-3 * 7 + w * 7) + -4
-27 + 3w = (-21 + 7w) + -4

Reorder the terms:
-27 + 3w = -21 + -4 + 7w

Combine like terms: -21 + -4 = -25
-27 + 3w = -25 + 7w

Solving
-27 + 3w = -25 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
-27 + 3w + -7w = -25 + 7w + -7w

Combine like terms: 3w + -7w = -4w
-27 + -4w = -25 + 7w + -7w

Combine like terms: 7w + -7w = 0
-27 + -4w = -25 + 0
-27 + -4w = -25

Add '27' to each side of the equation.
-27 + 27 + -4w = -25 + 27

Combine like terms: -27 + 27 = 0
0 + -4w = -25 + 27
-4w = -25 + 27

Combine like terms: -25 + 27 = 2
-4w = 2

Divide each side by '-4'.
w = -0.5

Simplifying
w = -0.5

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