9(w-3)=-12(2w-4)

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Solution for 9(w-3)=-12(2w-4) equation:


Simplifying
9(w + -3) = -12(2w + -4)

Reorder the terms:
9(-3 + w) = -12(2w + -4)
(-3 * 9 + w * 9) = -12(2w + -4)
(-27 + 9w) = -12(2w + -4)

Reorder the terms:
-27 + 9w = -12(-4 + 2w)
-27 + 9w = (-4 * -12 + 2w * -12)
-27 + 9w = (48 + -24w)

Solving
-27 + 9w = 48 + -24w

Solving for variable 'w'.

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

Add '24w' to each side of the equation.
-27 + 9w + 24w = 48 + -24w + 24w

Combine like terms: 9w + 24w = 33w
-27 + 33w = 48 + -24w + 24w

Combine like terms: -24w + 24w = 0
-27 + 33w = 48 + 0
-27 + 33w = 48

Add '27' to each side of the equation.
-27 + 27 + 33w = 48 + 27

Combine like terms: -27 + 27 = 0
0 + 33w = 48 + 27
33w = 48 + 27

Combine like terms: 48 + 27 = 75
33w = 75

Divide each side by '33'.
w = 2.272727273

Simplifying
w = 2.272727273

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