-7(w+2)-(3-9w)=w

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Solution for -7(w+2)-(3-9w)=w equation:


Simplifying
-7(w + 2) + -1(3 + -9w) = w

Reorder the terms:
-7(2 + w) + -1(3 + -9w) = w
(2 * -7 + w * -7) + -1(3 + -9w) = w
(-14 + -7w) + -1(3 + -9w) = w
-14 + -7w + (3 * -1 + -9w * -1) = w
-14 + -7w + (-3 + 9w) = w

Reorder the terms:
-14 + -3 + -7w + 9w = w

Combine like terms: -14 + -3 = -17
-17 + -7w + 9w = w

Combine like terms: -7w + 9w = 2w
-17 + 2w = w

Solving
-17 + 2w = w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
-17 + 2w + -1w = w + -1w

Combine like terms: 2w + -1w = 1w
-17 + 1w = w + -1w

Combine like terms: w + -1w = 0
-17 + 1w = 0

Add '17' to each side of the equation.
-17 + 17 + 1w = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 1w = 0 + 17
1w = 0 + 17

Combine like terms: 0 + 17 = 17
1w = 17

Divide each side by '1'.
w = 17

Simplifying
w = 17

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