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