-9(w-1)-(9w-2)=-19w

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Solution for -9(w-1)-(9w-2)=-19w equation:


Simplifying
-9(w + -1) + -1(9w + -2) = -19w

Reorder the terms:
-9(-1 + w) + -1(9w + -2) = -19w
(-1 * -9 + w * -9) + -1(9w + -2) = -19w
(9 + -9w) + -1(9w + -2) = -19w

Reorder the terms:
9 + -9w + -1(-2 + 9w) = -19w
9 + -9w + (-2 * -1 + 9w * -1) = -19w
9 + -9w + (2 + -9w) = -19w

Reorder the terms:
9 + 2 + -9w + -9w = -19w

Combine like terms: 9 + 2 = 11
11 + -9w + -9w = -19w

Combine like terms: -9w + -9w = -18w
11 + -18w = -19w

Solving
11 + -18w = -19w

Solving for variable 'w'.

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

Add '19w' to each side of the equation.
11 + -18w + 19w = -19w + 19w

Combine like terms: -18w + 19w = 1w
11 + 1w = -19w + 19w

Combine like terms: -19w + 19w = 0
11 + 1w = 0

Add '-11' to each side of the equation.
11 + -11 + 1w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 1w = 0 + -11
1w = 0 + -11

Combine like terms: 0 + -11 = -11
1w = -11

Divide each side by '1'.
w = -11

Simplifying
w = -11

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