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Simplifying 5(w + 3) + -3(w + 2) = 27 Reorder the terms: 5(3 + w) + -3(w + 2) = 27 (3 * 5 + w * 5) + -3(w + 2) = 27 (15 + 5w) + -3(w + 2) = 27 Reorder the terms: 15 + 5w + -3(2 + w) = 27 15 + 5w + (2 * -3 + w * -3) = 27 15 + 5w + (-6 + -3w) = 27 Reorder the terms: 15 + -6 + 5w + -3w = 27 Combine like terms: 15 + -6 = 9 9 + 5w + -3w = 27 Combine like terms: 5w + -3w = 2w 9 + 2w = 27 Solving 9 + 2w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2w = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 27 + -9 2w = 27 + -9 Combine like terms: 27 + -9 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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