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Simplifying 3(w + 8) = -8w + 13 Reorder the terms: 3(8 + w) = -8w + 13 (8 * 3 + w * 3) = -8w + 13 (24 + 3w) = -8w + 13 Reorder the terms: 24 + 3w = 13 + -8w Solving 24 + 3w = 13 + -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. 24 + 3w + 8w = 13 + -8w + 8w Combine like terms: 3w + 8w = 11w 24 + 11w = 13 + -8w + 8w Combine like terms: -8w + 8w = 0 24 + 11w = 13 + 0 24 + 11w = 13 Add '-24' to each side of the equation. 24 + -24 + 11w = 13 + -24 Combine like terms: 24 + -24 = 0 0 + 11w = 13 + -24 11w = 13 + -24 Combine like terms: 13 + -24 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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