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Simplifying 9(w + 4) = 4w + 31 Reorder the terms: 9(4 + w) = 4w + 31 (4 * 9 + w * 9) = 4w + 31 (36 + 9w) = 4w + 31 Reorder the terms: 36 + 9w = 31 + 4w Solving 36 + 9w = 31 + 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. 36 + 9w + -4w = 31 + 4w + -4w Combine like terms: 9w + -4w = 5w 36 + 5w = 31 + 4w + -4w Combine like terms: 4w + -4w = 0 36 + 5w = 31 + 0 36 + 5w = 31 Add '-36' to each side of the equation. 36 + -36 + 5w = 31 + -36 Combine like terms: 36 + -36 = 0 0 + 5w = 31 + -36 5w = 31 + -36 Combine like terms: 31 + -36 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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