5(w-5)-2=-7(-3w+3)-w

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Solution for 5(w-5)-2=-7(-3w+3)-w equation:


Simplifying
5(w + -5) + -2 = -7(-3w + 3) + -1w

Reorder the terms:
5(-5 + w) + -2 = -7(-3w + 3) + -1w
(-5 * 5 + w * 5) + -2 = -7(-3w + 3) + -1w
(-25 + 5w) + -2 = -7(-3w + 3) + -1w

Reorder the terms:
-25 + -2 + 5w = -7(-3w + 3) + -1w

Combine like terms: -25 + -2 = -27
-27 + 5w = -7(-3w + 3) + -1w

Reorder the terms:
-27 + 5w = -7(3 + -3w) + -1w
-27 + 5w = (3 * -7 + -3w * -7) + -1w
-27 + 5w = (-21 + 21w) + -1w

Combine like terms: 21w + -1w = 20w
-27 + 5w = -21 + 20w

Solving
-27 + 5w = -21 + 20w

Solving for variable 'w'.

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

Add '-20w' to each side of the equation.
-27 + 5w + -20w = -21 + 20w + -20w

Combine like terms: 5w + -20w = -15w
-27 + -15w = -21 + 20w + -20w

Combine like terms: 20w + -20w = 0
-27 + -15w = -21 + 0
-27 + -15w = -21

Add '27' to each side of the equation.
-27 + 27 + -15w = -21 + 27

Combine like terms: -27 + 27 = 0
0 + -15w = -21 + 27
-15w = -21 + 27

Combine like terms: -21 + 27 = 6
-15w = 6

Divide each side by '-15'.
w = -0.4

Simplifying
w = -0.4

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