204=2(5w)+2w

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Solution for 204=2(5w)+2w equation: 


Simplifying
204 = 2(5w) + 2w

Remove parenthesis around (5w)
204 = 2 * 5w + 2w

Multiply 2 * 5
204 = 10w + 2w

Combine like terms: 10w + 2w = 12w
204 = 12w

Solving
204 = 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
204 + -12w = 12w + -12w

Combine like terms: 12w + -12w = 0
204 + -12w = 0

Add '-204' to each side of the equation.
204 + -204 + -12w = 0 + -204

Combine like terms: 204 + -204 = 0
0 + -12w = 0 + -204
-12w = 0 + -204

Combine like terms: 0 + -204 = -204
-12w = -204

Divide each side by '-12'.
w = 17

Simplifying
w = 17

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