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Simplifying 5w + 3(9 + 2w) = -18 5w + (9 * 3 + 2w * 3) = -18 5w + (27 + 6w) = -18 Reorder the terms: 27 + 5w + 6w = -18 Combine like terms: 5w + 6w = 11w 27 + 11w = -18 Solving 27 + 11w = -18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11w = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 11w = -18 + -27 11w = -18 + -27 Combine like terms: -18 + -27 = -45 11w = -45 Divide each side by '11'. w = -4.090909091 Simplifying w = -4.090909091
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