5(w-5)-9=-5(-5w+6)-2w

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Solution for 5(w-5)-9=-5(-5w+6)-2w equation:


Simplifying
5(w + -5) + -9 = -5(-5w + 6) + -2w

Reorder the terms:
5(-5 + w) + -9 = -5(-5w + 6) + -2w
(-5 * 5 + w * 5) + -9 = -5(-5w + 6) + -2w
(-25 + 5w) + -9 = -5(-5w + 6) + -2w

Reorder the terms:
-25 + -9 + 5w = -5(-5w + 6) + -2w

Combine like terms: -25 + -9 = -34
-34 + 5w = -5(-5w + 6) + -2w

Reorder the terms:
-34 + 5w = -5(6 + -5w) + -2w
-34 + 5w = (6 * -5 + -5w * -5) + -2w
-34 + 5w = (-30 + 25w) + -2w

Combine like terms: 25w + -2w = 23w
-34 + 5w = -30 + 23w

Solving
-34 + 5w = -30 + 23w

Solving for variable 'w'.

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

Add '-23w' to each side of the equation.
-34 + 5w + -23w = -30 + 23w + -23w

Combine like terms: 5w + -23w = -18w
-34 + -18w = -30 + 23w + -23w

Combine like terms: 23w + -23w = 0
-34 + -18w = -30 + 0
-34 + -18w = -30

Add '34' to each side of the equation.
-34 + 34 + -18w = -30 + 34

Combine like terms: -34 + 34 = 0
0 + -18w = -30 + 34
-18w = -30 + 34

Combine like terms: -30 + 34 = 4
-18w = 4

Divide each side by '-18'.
w = -0.2222222222

Simplifying
w = -0.2222222222

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