2(w+9)+2w=102

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Solution for 2(w+9)+2w=102 equation:


Simplifying
2(w + 9) + 2w = 102

Reorder the terms:
2(9 + w) + 2w = 102
(9 * 2 + w * 2) + 2w = 102
(18 + 2w) + 2w = 102

Combine like terms: 2w + 2w = 4w
18 + 4w = 102

Solving
18 + 4w = 102

Solving for variable 'w'.

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

Add '-18' to each side of the equation.
18 + -18 + 4w = 102 + -18

Combine like terms: 18 + -18 = 0
0 + 4w = 102 + -18
4w = 102 + -18

Combine like terms: 102 + -18 = 84
4w = 84

Divide each side by '4'.
w = 21

Simplifying
w = 21

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