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Simplifying 4w + -9 + -1(6 + -5w) = 44 4w + -9 + (6 * -1 + -5w * -1) = 44 4w + -9 + (-6 + 5w) = 44 Reorder the terms: -9 + -6 + 4w + 5w = 44 Combine like terms: -9 + -6 = -15 -15 + 4w + 5w = 44 Combine like terms: 4w + 5w = 9w -15 + 9w = 44 Solving -15 + 9w = 44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 9w = 44 + 15 Combine like terms: -15 + 15 = 0 0 + 9w = 44 + 15 9w = 44 + 15 Combine like terms: 44 + 15 = 59 9w = 59 Divide each side by '9'. w = 6.555555556 Simplifying w = 6.555555556
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