6(2w-12)=10w+2

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Solution for 6(2w-12)=10w+2 equation: 


Simplifying
6(2w + -12) = 10w + 2

Reorder the terms:
6(-12 + 2w) = 10w + 2
(-12 * 6 + 2w * 6) = 10w + 2
(-72 + 12w) = 10w + 2

Reorder the terms:
-72 + 12w = 2 + 10w

Solving
-72 + 12w = 2 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
-72 + 12w + -10w = 2 + 10w + -10w

Combine like terms: 12w + -10w = 2w
-72 + 2w = 2 + 10w + -10w

Combine like terms: 10w + -10w = 0
-72 + 2w = 2 + 0
-72 + 2w = 2

Add '72' to each side of the equation.
-72 + 72 + 2w = 2 + 72

Combine like terms: -72 + 72 = 0
0 + 2w = 2 + 72
2w = 2 + 72

Combine like terms: 2 + 72 = 74
2w = 74

Divide each side by '2'.
w = 37

Simplifying
w = 37

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