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Simplifying -2(w + 9) = -5w + -45 Reorder the terms: -2(9 + w) = -5w + -45 (9 * -2 + w * -2) = -5w + -45 (-18 + -2w) = -5w + -45 Reorder the terms: -18 + -2w = -45 + -5w Solving -18 + -2w = -45 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -18 + -2w + 5w = -45 + -5w + 5w Combine like terms: -2w + 5w = 3w -18 + 3w = -45 + -5w + 5w Combine like terms: -5w + 5w = 0 -18 + 3w = -45 + 0 -18 + 3w = -45 Add '18' to each side of the equation. -18 + 18 + 3w = -45 + 18 Combine like terms: -18 + 18 = 0 0 + 3w = -45 + 18 3w = -45 + 18 Combine like terms: -45 + 18 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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