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Simplifying 8(3 + -1w) + 11 = -11(w + -2) + -8 (3 * 8 + -1w * 8) + 11 = -11(w + -2) + -8 (24 + -8w) + 11 = -11(w + -2) + -8 Reorder the terms: 24 + 11 + -8w = -11(w + -2) + -8 Combine like terms: 24 + 11 = 35 35 + -8w = -11(w + -2) + -8 Reorder the terms: 35 + -8w = -11(-2 + w) + -8 35 + -8w = (-2 * -11 + w * -11) + -8 35 + -8w = (22 + -11w) + -8 Reorder the terms: 35 + -8w = 22 + -8 + -11w Combine like terms: 22 + -8 = 14 35 + -8w = 14 + -11w Solving 35 + -8w = 14 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 35 + -8w + 11w = 14 + -11w + 11w Combine like terms: -8w + 11w = 3w 35 + 3w = 14 + -11w + 11w Combine like terms: -11w + 11w = 0 35 + 3w = 14 + 0 35 + 3w = 14 Add '-35' to each side of the equation. 35 + -35 + 3w = 14 + -35 Combine like terms: 35 + -35 = 0 0 + 3w = 14 + -35 3w = 14 + -35 Combine like terms: 14 + -35 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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