2(2w-6)=6(w-6)-14

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Solution for 2(2w-6)=6(w-6)-14 equation: 


Simplifying
2(2w + -6) = 6(w + -6) + -14

Reorder the terms:
2(-6 + 2w) = 6(w + -6) + -14
(-6 * 2 + 2w * 2) = 6(w + -6) + -14
(-12 + 4w) = 6(w + -6) + -14

Reorder the terms:
-12 + 4w = 6(-6 + w) + -14
-12 + 4w = (-6 * 6 + w * 6) + -14
-12 + 4w = (-36 + 6w) + -14

Reorder the terms:
-12 + 4w = -36 + -14 + 6w

Combine like terms: -36 + -14 = -50
-12 + 4w = -50 + 6w

Solving
-12 + 4w = -50 + 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.
-12 + 4w + -6w = -50 + 6w + -6w

Combine like terms: 4w + -6w = -2w
-12 + -2w = -50 + 6w + -6w

Combine like terms: 6w + -6w = 0
-12 + -2w = -50 + 0
-12 + -2w = -50

Add '12' to each side of the equation.
-12 + 12 + -2w = -50 + 12

Combine like terms: -12 + 12 = 0
0 + -2w = -50 + 12
-2w = -50 + 12

Combine like terms: -50 + 12 = -38
-2w = -38

Divide each side by '-2'.
w = 19

Simplifying
w = 19

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