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Simplifying -5(w + -7) + -1(4 + 9w) = -15w Reorder the terms: -5(-7 + w) + -1(4 + 9w) = -15w (-7 * -5 + w * -5) + -1(4 + 9w) = -15w (35 + -5w) + -1(4 + 9w) = -15w 35 + -5w + (4 * -1 + 9w * -1) = -15w 35 + -5w + (-4 + -9w) = -15w Reorder the terms: 35 + -4 + -5w + -9w = -15w Combine like terms: 35 + -4 = 31 31 + -5w + -9w = -15w Combine like terms: -5w + -9w = -14w 31 + -14w = -15w Solving 31 + -14w = -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 31 + -14w + 15w = -15w + 15w Combine like terms: -14w + 15w = 1w 31 + 1w = -15w + 15w Combine like terms: -15w + 15w = 0 31 + 1w = 0 Add '-31' to each side of the equation. 31 + -31 + 1w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1w = 0 + -31 1w = 0 + -31 Combine like terms: 0 + -31 = -31 1w = -31 Divide each side by '1'. w = -31 Simplifying w = -31
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