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Simplifying -5(-5w + 5) + -8w = 5(w + -4) + -7 Reorder the terms: -5(5 + -5w) + -8w = 5(w + -4) + -7 (5 * -5 + -5w * -5) + -8w = 5(w + -4) + -7 (-25 + 25w) + -8w = 5(w + -4) + -7 Combine like terms: 25w + -8w = 17w -25 + 17w = 5(w + -4) + -7 Reorder the terms: -25 + 17w = 5(-4 + w) + -7 -25 + 17w = (-4 * 5 + w * 5) + -7 -25 + 17w = (-20 + 5w) + -7 Reorder the terms: -25 + 17w = -20 + -7 + 5w Combine like terms: -20 + -7 = -27 -25 + 17w = -27 + 5w Solving -25 + 17w = -27 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -25 + 17w + -5w = -27 + 5w + -5w Combine like terms: 17w + -5w = 12w -25 + 12w = -27 + 5w + -5w Combine like terms: 5w + -5w = 0 -25 + 12w = -27 + 0 -25 + 12w = -27 Add '25' to each side of the equation. -25 + 25 + 12w = -27 + 25 Combine like terms: -25 + 25 = 0 0 + 12w = -27 + 25 12w = -27 + 25 Combine like terms: -27 + 25 = -2 12w = -2 Divide each side by '12'. w = -0.1666666667 Simplifying w = -0.1666666667
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