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Simplifying 3(5w + 5) + 3w = 8(w + 7) + -21 Reorder the terms: 3(5 + 5w) + 3w = 8(w + 7) + -21 (5 * 3 + 5w * 3) + 3w = 8(w + 7) + -21 (15 + 15w) + 3w = 8(w + 7) + -21 Combine like terms: 15w + 3w = 18w 15 + 18w = 8(w + 7) + -21 Reorder the terms: 15 + 18w = 8(7 + w) + -21 15 + 18w = (7 * 8 + w * 8) + -21 15 + 18w = (56 + 8w) + -21 Reorder the terms: 15 + 18w = 56 + -21 + 8w Combine like terms: 56 + -21 = 35 15 + 18w = 35 + 8w Solving 15 + 18w = 35 + 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. 15 + 18w + -8w = 35 + 8w + -8w Combine like terms: 18w + -8w = 10w 15 + 10w = 35 + 8w + -8w Combine like terms: 8w + -8w = 0 15 + 10w = 35 + 0 15 + 10w = 35 Add '-15' to each side of the equation. 15 + -15 + 10w = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 10w = 35 + -15 10w = 35 + -15 Combine like terms: 35 + -15 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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