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Simplifying -26 = 3(w + 6) + 8w Reorder the terms: -26 = 3(6 + w) + 8w -26 = (6 * 3 + w * 3) + 8w -26 = (18 + 3w) + 8w Combine like terms: 3w + 8w = 11w -26 = 18 + 11w Solving -26 = 18 + 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. -26 + -11w = 18 + 11w + -11w Combine like terms: 11w + -11w = 0 -26 + -11w = 18 + 0 -26 + -11w = 18 Add '26' to each side of the equation. -26 + 26 + -11w = 18 + 26 Combine like terms: -26 + 26 = 0 0 + -11w = 18 + 26 -11w = 18 + 26 Combine like terms: 18 + 26 = 44 -11w = 44 Divide each side by '-11'. w = -4 Simplifying w = -4
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