12w-16=82-2w

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Solution for 12w-16=82-2w equation:


Simplifying
12w + -16 = 82 + -2w

Reorder the terms:
-16 + 12w = 82 + -2w

Solving
-16 + 12w = 82 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-16 + 12w + 2w = 82 + -2w + 2w

Combine like terms: 12w + 2w = 14w
-16 + 14w = 82 + -2w + 2w

Combine like terms: -2w + 2w = 0
-16 + 14w = 82 + 0
-16 + 14w = 82

Add '16' to each side of the equation.
-16 + 16 + 14w = 82 + 16

Combine like terms: -16 + 16 = 0
0 + 14w = 82 + 16
14w = 82 + 16

Combine like terms: 82 + 16 = 98
14w = 98

Divide each side by '14'.
w = 7

Simplifying
w = 7

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