54=2(6+2w)+2

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Solution for 54=2(6+2w)+2 equation:


Simplifying
54 = 2(6 + 2w) + 2
54 = (6 * 2 + 2w * 2) + 2
54 = (12 + 4w) + 2

Reorder the terms:
54 = 12 + 2 + 4w

Combine like terms: 12 + 2 = 14
54 = 14 + 4w

Solving
54 = 14 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
54 + -4w = 14 + 4w + -4w

Combine like terms: 4w + -4w = 0
54 + -4w = 14 + 0
54 + -4w = 14

Add '-54' to each side of the equation.
54 + -54 + -4w = 14 + -54

Combine like terms: 54 + -54 = 0
0 + -4w = 14 + -54
-4w = 14 + -54

Combine like terms: 14 + -54 = -40
-4w = -40

Divide each side by '-4'.
w = 10

Simplifying
w = 10

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