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Simplifying 5(3w + 4) + 2w = 8(w + 8) + -17 Reorder the terms: 5(4 + 3w) + 2w = 8(w + 8) + -17 (4 * 5 + 3w * 5) + 2w = 8(w + 8) + -17 (20 + 15w) + 2w = 8(w + 8) + -17 Combine like terms: 15w + 2w = 17w 20 + 17w = 8(w + 8) + -17 Reorder the terms: 20 + 17w = 8(8 + w) + -17 20 + 17w = (8 * 8 + w * 8) + -17 20 + 17w = (64 + 8w) + -17 Reorder the terms: 20 + 17w = 64 + -17 + 8w Combine like terms: 64 + -17 = 47 20 + 17w = 47 + 8w Solving 20 + 17w = 47 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 20 + 17w + -8w = 47 + 8w + -8w Combine like terms: 17w + -8w = 9w 20 + 9w = 47 + 8w + -8w Combine like terms: 8w + -8w = 0 20 + 9w = 47 + 0 20 + 9w = 47 Add '-20' to each side of the equation. 20 + -20 + 9w = 47 + -20 Combine like terms: 20 + -20 = 0 0 + 9w = 47 + -20 9w = 47 + -20 Combine like terms: 47 + -20 = 27 9w = 27 Divide each side by '9'. w = 3 Simplifying w = 3
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