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Simplifying 9(w + 3) = 5w + 31 Reorder the terms: 9(3 + w) = 5w + 31 (3 * 9 + w * 9) = 5w + 31 (27 + 9w) = 5w + 31 Reorder the terms: 27 + 9w = 31 + 5w Solving 27 + 9w = 31 + 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 + 9w + -5w = 31 + 5w + -5w Combine like terms: 9w + -5w = 4w 27 + 4w = 31 + 5w + -5w Combine like terms: 5w + -5w = 0 27 + 4w = 31 + 0 27 + 4w = 31 Add '-27' to each side of the equation. 27 + -27 + 4w = 31 + -27 Combine like terms: 27 + -27 = 0 0 + 4w = 31 + -27 4w = 31 + -27 Combine like terms: 31 + -27 = 4 4w = 4 Divide each side by '4'. w = 1 Simplifying w = 1
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