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Simplifying 9w + -4(3w + -5(w + 6)) = 0 Reorder the terms: 9w + -4(3w + -5(6 + w)) = 0 9w + -4(3w + (6 * -5 + w * -5)) = 0 9w + -4(3w + (-30 + -5w)) = 0 Reorder the terms: 9w + -4(-30 + 3w + -5w) = 0 Combine like terms: 3w + -5w = -2w 9w + -4(-30 + -2w) = 0 9w + (-30 * -4 + -2w * -4) = 0 9w + (120 + 8w) = 0 Reorder the terms: 120 + 9w + 8w = 0 Combine like terms: 9w + 8w = 17w 120 + 17w = 0 Solving 120 + 17w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 17w = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 17w = 0 + -120 17w = 0 + -120 Combine like terms: 0 + -120 = -120 17w = -120 Divide each side by '17'. w = -7.058823529 Simplifying w = -7.058823529
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