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Simplifying 4w + 27 = -5(w + -9) Reorder the terms: 27 + 4w = -5(w + -9) Reorder the terms: 27 + 4w = -5(-9 + w) 27 + 4w = (-9 * -5 + w * -5) 27 + 4w = (45 + -5w) Solving 27 + 4w = 45 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 27 + 4w + 5w = 45 + -5w + 5w Combine like terms: 4w + 5w = 9w 27 + 9w = 45 + -5w + 5w Combine like terms: -5w + 5w = 0 27 + 9w = 45 + 0 27 + 9w = 45 Add '-27' to each side of the equation. 27 + -27 + 9w = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 9w = 45 + -27 9w = 45 + -27 Combine like terms: 45 + -27 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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