3(x-8)+6(w-12)=12

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Solution for 3(x-8)+6(w-12)=12 equation: 


Simplifying
3(x + -8) + 6(w + -12) = 12

Reorder the terms:
3(-8 + x) + 6(w + -12) = 12
(-8 * 3 + x * 3) + 6(w + -12) = 12
(-24 + 3x) + 6(w + -12) = 12

Reorder the terms:
-24 + 3x + 6(-12 + w) = 12
-24 + 3x + (-12 * 6 + w * 6) = 12
-24 + 3x + (-72 + 6w) = 12

Reorder the terms:
-24 + -72 + 6w + 3x = 12

Combine like terms: -24 + -72 = -96
-96 + 6w + 3x = 12

Solving
-96 + 6w + 3x = 12

Solving for variable 'w'.

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

Add '96' to each side of the equation.
-96 + 6w + 96 + 3x = 12 + 96

Reorder the terms:
-96 + 96 + 6w + 3x = 12 + 96

Combine like terms: -96 + 96 = 0
0 + 6w + 3x = 12 + 96
6w + 3x = 12 + 96

Combine like terms: 12 + 96 = 108
6w + 3x = 108

Add '-3x' to each side of the equation.
6w + 3x + -3x = 108 + -3x

Combine like terms: 3x + -3x = 0
6w + 0 = 108 + -3x
6w = 108 + -3x

Divide each side by '6'.
w = 18 + -0.5x

Simplifying
w = 18 + -0.5x

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