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Simplifying -2(w + 9) = -9w + 17 Reorder the terms: -2(9 + w) = -9w + 17 (9 * -2 + w * -2) = -9w + 17 (-18 + -2w) = -9w + 17 Reorder the terms: -18 + -2w = 17 + -9w Solving -18 + -2w = 17 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -18 + -2w + 9w = 17 + -9w + 9w Combine like terms: -2w + 9w = 7w -18 + 7w = 17 + -9w + 9w Combine like terms: -9w + 9w = 0 -18 + 7w = 17 + 0 -18 + 7w = 17 Add '18' to each side of the equation. -18 + 18 + 7w = 17 + 18 Combine like terms: -18 + 18 = 0 0 + 7w = 17 + 18 7w = 17 + 18 Combine like terms: 17 + 18 = 35 7w = 35 Divide each side by '7'. w = 5 Simplifying w = 5
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