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Simplifying -5(-5w + 5) + -8w = 7(w + -5) + -5 Reorder the terms: -5(5 + -5w) + -8w = 7(w + -5) + -5 (5 * -5 + -5w * -5) + -8w = 7(w + -5) + -5 (-25 + 25w) + -8w = 7(w + -5) + -5 Combine like terms: 25w + -8w = 17w -25 + 17w = 7(w + -5) + -5 Reorder the terms: -25 + 17w = 7(-5 + w) + -5 -25 + 17w = (-5 * 7 + w * 7) + -5 -25 + 17w = (-35 + 7w) + -5 Reorder the terms: -25 + 17w = -35 + -5 + 7w Combine like terms: -35 + -5 = -40 -25 + 17w = -40 + 7w Solving -25 + 17w = -40 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -25 + 17w + -7w = -40 + 7w + -7w Combine like terms: 17w + -7w = 10w -25 + 10w = -40 + 7w + -7w Combine like terms: 7w + -7w = 0 -25 + 10w = -40 + 0 -25 + 10w = -40 Add '25' to each side of the equation. -25 + 25 + 10w = -40 + 25 Combine like terms: -25 + 25 = 0 0 + 10w = -40 + 25 10w = -40 + 25 Combine like terms: -40 + 25 = -15 10w = -15 Divide each side by '10'. w = -1.5 Simplifying w = -1.5
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