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Simplifying 8(2 + -1w) + 11 = -11(w + -2) + -8 (2 * 8 + -1w * 8) + 11 = -11(w + -2) + -8 (16 + -8w) + 11 = -11(w + -2) + -8 Reorder the terms: 16 + 11 + -8w = -11(w + -2) + -8 Combine like terms: 16 + 11 = 27 27 + -8w = -11(w + -2) + -8 Reorder the terms: 27 + -8w = -11(-2 + w) + -8 27 + -8w = (-2 * -11 + w * -11) + -8 27 + -8w = (22 + -11w) + -8 Reorder the terms: 27 + -8w = 22 + -8 + -11w Combine like terms: 22 + -8 = 14 27 + -8w = 14 + -11w Solving 27 + -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. 27 + -8w + 11w = 14 + -11w + 11w Combine like terms: -8w + 11w = 3w 27 + 3w = 14 + -11w + 11w Combine like terms: -11w + 11w = 0 27 + 3w = 14 + 0 27 + 3w = 14 Add '-27' to each side of the equation. 27 + -27 + 3w = 14 + -27 Combine like terms: 27 + -27 = 0 0 + 3w = 14 + -27 3w = 14 + -27 Combine like terms: 14 + -27 = -13 3w = -13 Divide each side by '3'. w = -4.333333333 Simplifying w = -4.333333333
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