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Simplifying 3(5w + 3) + 4 = 8(w + 8) + -33 Reorder the terms: 3(3 + 5w) + 4 = 8(w + 8) + -33 (3 * 3 + 5w * 3) + 4 = 8(w + 8) + -33 (9 + 15w) + 4 = 8(w + 8) + -33 Reorder the terms: 9 + 4 + 15w = 8(w + 8) + -33 Combine like terms: 9 + 4 = 13 13 + 15w = 8(w + 8) + -33 Reorder the terms: 13 + 15w = 8(8 + w) + -33 13 + 15w = (8 * 8 + w * 8) + -33 13 + 15w = (64 + 8w) + -33 Reorder the terms: 13 + 15w = 64 + -33 + 8w Combine like terms: 64 + -33 = 31 13 + 15w = 31 + 8w Solving 13 + 15w = 31 + 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. 13 + 15w + -8w = 31 + 8w + -8w Combine like terms: 15w + -8w = 7w 13 + 7w = 31 + 8w + -8w Combine like terms: 8w + -8w = 0 13 + 7w = 31 + 0 13 + 7w = 31 Add '-13' to each side of the equation. 13 + -13 + 7w = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 7w = 31 + -13 7w = 31 + -13 Combine like terms: 31 + -13 = 18 7w = 18 Divide each side by '7'. w = 2.571428571 Simplifying w = 2.571428571
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