2(w+5.2)+2w=82.4

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Solution for 2(w+5.2)+2w=82.4 equation: 


Simplifying
2(w + 5.2) + 2w = 82.4

Reorder the terms:
2(5.2 + w) + 2w = 82.4
(5.2 * 2 + w * 2) + 2w = 82.4
(10.4 + 2w) + 2w = 82.4

Combine like terms: 2w + 2w = 4w
10.4 + 4w = 82.4

Solving
10.4 + 4w = 82.4

Solving for variable 'w'.

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

Add '-10.4' to each side of the equation.
10.4 + -10.4 + 4w = 82.4 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + 4w = 82.4 + -10.4
4w = 82.4 + -10.4

Combine like terms: 82.4 + -10.4 = 72
4w = 72

Divide each side by '4'.
w = 18

Simplifying
w = 18

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