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Simplifying 12 + -3(2w + 1) = 11w + -3(11 + w) Reorder the terms: 12 + -3(1 + 2w) = 11w + -3(11 + w) 12 + (1 * -3 + 2w * -3) = 11w + -3(11 + w) 12 + (-3 + -6w) = 11w + -3(11 + w) Combine like terms: 12 + -3 = 9 9 + -6w = 11w + -3(11 + w) 9 + -6w = 11w + (11 * -3 + w * -3) 9 + -6w = 11w + (-33 + -3w) Reorder the terms: 9 + -6w = -33 + 11w + -3w Combine like terms: 11w + -3w = 8w 9 + -6w = -33 + 8w Solving 9 + -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. 9 + -6w + -8w = -33 + 8w + -8w Combine like terms: -6w + -8w = -14w 9 + -14w = -33 + 8w + -8w Combine like terms: 8w + -8w = 0 9 + -14w = -33 + 0 9 + -14w = -33 Add '-9' to each side of the equation. 9 + -9 + -14w = -33 + -9 Combine like terms: 9 + -9 = 0 0 + -14w = -33 + -9 -14w = -33 + -9 Combine like terms: -33 + -9 = -42 -14w = -42 Divide each side by '-14'. w = 3 Simplifying w = 3
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