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Simplifying 9(2w + 5) + -2(w + 9) = 0 Reorder the terms: 9(5 + 2w) + -2(w + 9) = 0 (5 * 9 + 2w * 9) + -2(w + 9) = 0 (45 + 18w) + -2(w + 9) = 0 Reorder the terms: 45 + 18w + -2(9 + w) = 0 45 + 18w + (9 * -2 + w * -2) = 0 45 + 18w + (-18 + -2w) = 0 Reorder the terms: 45 + -18 + 18w + -2w = 0 Combine like terms: 45 + -18 = 27 27 + 18w + -2w = 0 Combine like terms: 18w + -2w = 16w 27 + 16w = 0 Solving 27 + 16w = 0 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 + 16w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 16w = 0 + -27 16w = 0 + -27 Combine like terms: 0 + -27 = -27 16w = -27 Divide each side by '16'. w = -1.6875 Simplifying w = -1.6875
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