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Simplifying 5.5(2w + 9) = 23.1 Reorder the terms: 5.5(9 + 2w) = 23.1 (9 * 5.5 + 2w * 5.5) = 23.1 (49.5 + 11w) = 23.1 Solving 49.5 + 11w = 23.1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-49.5' to each side of the equation. 49.5 + -49.5 + 11w = 23.1 + -49.5 Combine like terms: 49.5 + -49.5 = 0.0 0.0 + 11w = 23.1 + -49.5 11w = 23.1 + -49.5 Combine like terms: 23.1 + -49.5 = -26.4 11w = -26.4 Divide each side by '11'. w = -2.4 Simplifying w = -2.4
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