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Simplifying -9(w + 1) + -1(5w + -6) = -15w Reorder the terms: -9(1 + w) + -1(5w + -6) = -15w (1 * -9 + w * -9) + -1(5w + -6) = -15w (-9 + -9w) + -1(5w + -6) = -15w Reorder the terms: -9 + -9w + -1(-6 + 5w) = -15w -9 + -9w + (-6 * -1 + 5w * -1) = -15w -9 + -9w + (6 + -5w) = -15w Reorder the terms: -9 + 6 + -9w + -5w = -15w Combine like terms: -9 + 6 = -3 -3 + -9w + -5w = -15w Combine like terms: -9w + -5w = -14w -3 + -14w = -15w Solving -3 + -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. -3 + -14w + 15w = -15w + 15w Combine like terms: -14w + 15w = 1w -3 + 1w = -15w + 15w Combine like terms: -15w + 15w = 0 -3 + 1w = 0 Add '3' to each side of the equation. -3 + 3 + 1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = 0 + 3 1w = 0 + 3 Combine like terms: 0 + 3 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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