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Simplifying -2(w + 9) = 4w + -24 Reorder the terms: -2(9 + w) = 4w + -24 (9 * -2 + w * -2) = 4w + -24 (-18 + -2w) = 4w + -24 Reorder the terms: -18 + -2w = -24 + 4w Solving -18 + -2w = -24 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -18 + -2w + -4w = -24 + 4w + -4w Combine like terms: -2w + -4w = -6w -18 + -6w = -24 + 4w + -4w Combine like terms: 4w + -4w = 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 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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