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Simplifying 5(w + 3) = 9w + 39 Reorder the terms: 5(3 + w) = 9w + 39 (3 * 5 + w * 5) = 9w + 39 (15 + 5w) = 9w + 39 Reorder the terms: 15 + 5w = 39 + 9w Solving 15 + 5w = 39 + 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. 15 + 5w + -9w = 39 + 9w + -9w Combine like terms: 5w + -9w = -4w 15 + -4w = 39 + 9w + -9w Combine like terms: 9w + -9w = 0 15 + -4w = 39 + 0 15 + -4w = 39 Add '-15' to each side of the equation. 15 + -15 + -4w = 39 + -15 Combine like terms: 15 + -15 = 0 0 + -4w = 39 + -15 -4w = 39 + -15 Combine like terms: 39 + -15 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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