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Simplifying -9(w + 3) + -1(3 + 5w) = -15w Reorder the terms: -9(3 + w) + -1(3 + 5w) = -15w (3 * -9 + w * -9) + -1(3 + 5w) = -15w (-27 + -9w) + -1(3 + 5w) = -15w -27 + -9w + (3 * -1 + 5w * -1) = -15w -27 + -9w + (-3 + -5w) = -15w Reorder the terms: -27 + -3 + -9w + -5w = -15w Combine like terms: -27 + -3 = -30 -30 + -9w + -5w = -15w Combine like terms: -9w + -5w = -14w -30 + -14w = -15w Solving -30 + -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. -30 + -14w + 15w = -15w + 15w Combine like terms: -14w + 15w = 1w -30 + 1w = -15w + 15w Combine like terms: -15w + 15w = 0 -30 + 1w = 0 Add '30' to each side of the equation. -30 + 30 + 1w = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1w = 0 + 30 1w = 0 + 30 Combine like terms: 0 + 30 = 30 1w = 30 Divide each side by '1'. w = 30 Simplifying w = 30
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