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Simplifying 5(9 + -1w) = 4(w + 18) (9 * 5 + -1w * 5) = 4(w + 18) (45 + -5w) = 4(w + 18) Reorder the terms: 45 + -5w = 4(18 + w) 45 + -5w = (18 * 4 + w * 4) 45 + -5w = (72 + 4w) Solving 45 + -5w = 72 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 45 + -5w + -4w = 72 + 4w + -4w Combine like terms: -5w + -4w = -9w 45 + -9w = 72 + 4w + -4w Combine like terms: 4w + -4w = 0 45 + -9w = 72 + 0 45 + -9w = 72 Add '-45' to each side of the equation. 45 + -45 + -9w = 72 + -45 Combine like terms: 45 + -45 = 0 0 + -9w = 72 + -45 -9w = 72 + -45 Combine like terms: 72 + -45 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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