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Simplifying 9(w + 5) = 2w + -18 Reorder the terms: 9(5 + w) = 2w + -18 (5 * 9 + w * 9) = 2w + -18 (45 + 9w) = 2w + -18 Reorder the terms: 45 + 9w = -18 + 2w Solving 45 + 9w = -18 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 45 + 9w + -2w = -18 + 2w + -2w Combine like terms: 9w + -2w = 7w 45 + 7w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 45 + 7w = -18 + 0 45 + 7w = -18 Add '-45' to each side of the equation. 45 + -45 + 7w = -18 + -45 Combine like terms: 45 + -45 = 0 0 + 7w = -18 + -45 7w = -18 + -45 Combine like terms: -18 + -45 = -63 7w = -63 Divide each side by '7'. w = -9 Simplifying w = -9
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