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Simplifying -2(w + 9) = -8w + 24 Reorder the terms: -2(9 + w) = -8w + 24 (9 * -2 + w * -2) = -8w + 24 (-18 + -2w) = -8w + 24 Reorder the terms: -18 + -2w = 24 + -8w Solving -18 + -2w = 24 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -18 + -2w + 8w = 24 + -8w + 8w Combine like terms: -2w + 8w = 6w -18 + 6w = 24 + -8w + 8w Combine like terms: -8w + 8w = 0 -18 + 6w = 24 + 0 -18 + 6w = 24 Add '18' to each side of the equation. -18 + 18 + 6w = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 6w = 24 + 18 6w = 24 + 18 Combine like terms: 24 + 18 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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