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Simplifying -5(-5w + 3) + -8w = 2(w + -1) + -7 Reorder the terms: -5(3 + -5w) + -8w = 2(w + -1) + -7 (3 * -5 + -5w * -5) + -8w = 2(w + -1) + -7 (-15 + 25w) + -8w = 2(w + -1) + -7 Combine like terms: 25w + -8w = 17w -15 + 17w = 2(w + -1) + -7 Reorder the terms: -15 + 17w = 2(-1 + w) + -7 -15 + 17w = (-1 * 2 + w * 2) + -7 -15 + 17w = (-2 + 2w) + -7 Reorder the terms: -15 + 17w = -2 + -7 + 2w Combine like terms: -2 + -7 = -9 -15 + 17w = -9 + 2w Solving -15 + 17w = -9 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -15 + 17w + -2w = -9 + 2w + -2w Combine like terms: 17w + -2w = 15w -15 + 15w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 15w = -9 + 0 -15 + 15w = -9 Add '15' to each side of the equation. -15 + 15 + 15w = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 15w = -9 + 15 15w = -9 + 15 Combine like terms: -9 + 15 = 6 15w = 6 Divide each side by '15'. w = 0.4 Simplifying w = 0.4
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