17-2(2w+1)=9w-2(9+w)

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Solution for 17-2(2w+1)=9w-2(9+w) equation: 


Simplifying
17 + -2(2w + 1) = 9w + -2(9 + w)

Reorder the terms:
17 + -2(1 + 2w) = 9w + -2(9 + w)
17 + (1 * -2 + 2w * -2) = 9w + -2(9 + w)
17 + (-2 + -4w) = 9w + -2(9 + w)

Combine like terms: 17 + -2 = 15
15 + -4w = 9w + -2(9 + w)
15 + -4w = 9w + (9 * -2 + w * -2)
15 + -4w = 9w + (-18 + -2w)

Reorder the terms:
15 + -4w = -18 + 9w + -2w

Combine like terms: 9w + -2w = 7w
15 + -4w = -18 + 7w

Solving
15 + -4w = -18 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
15 + -4w + -7w = -18 + 7w + -7w

Combine like terms: -4w + -7w = -11w
15 + -11w = -18 + 7w + -7w

Combine like terms: 7w + -7w = 0
15 + -11w = -18 + 0
15 + -11w = -18

Add '-15' to each side of the equation.
15 + -15 + -11w = -18 + -15

Combine like terms: 15 + -15 = 0
0 + -11w = -18 + -15
-11w = -18 + -15

Combine like terms: -18 + -15 = -33
-11w = -33

Divide each side by '-11'.
w = 3

Simplifying
w = 3

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