-9(w-4)-(2-7w)=-3w

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Solution for -9(w-4)-(2-7w)=-3w equation:


Simplifying
-9(w + -4) + -1(2 + -7w) = -3w

Reorder the terms:
-9(-4 + w) + -1(2 + -7w) = -3w
(-4 * -9 + w * -9) + -1(2 + -7w) = -3w
(36 + -9w) + -1(2 + -7w) = -3w
36 + -9w + (2 * -1 + -7w * -1) = -3w
36 + -9w + (-2 + 7w) = -3w

Reorder the terms:
36 + -2 + -9w + 7w = -3w

Combine like terms: 36 + -2 = 34
34 + -9w + 7w = -3w

Combine like terms: -9w + 7w = -2w
34 + -2w = -3w

Solving
34 + -2w = -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
34 + -2w + 3w = -3w + 3w

Combine like terms: -2w + 3w = 1w
34 + 1w = -3w + 3w

Combine like terms: -3w + 3w = 0
34 + 1w = 0

Add '-34' to each side of the equation.
34 + -34 + 1w = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 1w = 0 + -34
1w = 0 + -34

Combine like terms: 0 + -34 = -34
1w = -34

Divide each side by '1'.
w = -34

Simplifying
w = -34

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