2(w+2)=6w-12

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Solution for 2(w+2)=6w-12 equation: 


Simplifying
2(w + 2) = 6w + -12

Reorder the terms:
2(2 + w) = 6w + -12
(2 * 2 + w * 2) = 6w + -12
(4 + 2w) = 6w + -12

Reorder the terms:
4 + 2w = -12 + 6w

Solving
4 + 2w = -12 + 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.
4 + 2w + -6w = -12 + 6w + -6w

Combine like terms: 2w + -6w = -4w
4 + -4w = -12 + 6w + -6w

Combine like terms: 6w + -6w = 0
4 + -4w = -12 + 0
4 + -4w = -12

Add '-4' to each side of the equation.
4 + -4 + -4w = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -4w = -12 + -4
-4w = -12 + -4

Combine like terms: -12 + -4 = -16
-4w = -16

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

Simplifying
w = 4

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