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Simplifying 9 = -2(w + 45) Reorder the terms: 9 = -2(45 + w) 9 = (45 * -2 + w * -2) 9 = (-90 + -2w) Solving 9 = -90 + -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. 9 + 2w = -90 + -2w + 2w Combine like terms: -2w + 2w = 0 9 + 2w = -90 + 0 9 + 2w = -90 Add '-9' to each side of the equation. 9 + -9 + 2w = -90 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = -90 + -9 2w = -90 + -9 Combine like terms: -90 + -9 = -99 2w = -99 Divide each side by '2'. w = -49.5 Simplifying w = -49.5
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