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Simplifying 26 + -3(2w + 1) = 11w + -3(11 + w) Reorder the terms: 26 + -3(1 + 2w) = 11w + -3(11 + w) 26 + (1 * -3 + 2w * -3) = 11w + -3(11 + w) 26 + (-3 + -6w) = 11w + -3(11 + w) Combine like terms: 26 + -3 = 23 23 + -6w = 11w + -3(11 + w) 23 + -6w = 11w + (11 * -3 + w * -3) 23 + -6w = 11w + (-33 + -3w) Reorder the terms: 23 + -6w = -33 + 11w + -3w Combine like terms: 11w + -3w = 8w 23 + -6w = -33 + 8w Solving 23 + -6w = -33 + 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. 23 + -6w + -8w = -33 + 8w + -8w Combine like terms: -6w + -8w = -14w 23 + -14w = -33 + 8w + -8w Combine like terms: 8w + -8w = 0 23 + -14w = -33 + 0 23 + -14w = -33 Add '-23' to each side of the equation. 23 + -23 + -14w = -33 + -23 Combine like terms: 23 + -23 = 0 0 + -14w = -33 + -23 -14w = -33 + -23 Combine like terms: -33 + -23 = -56 -14w = -56 Divide each side by '-14'. w = 4 Simplifying w = 4
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