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Simplifying 2(w + 9) + -1(9 + 5w) = -4w Reorder the terms: 2(9 + w) + -1(9 + 5w) = -4w (9 * 2 + w * 2) + -1(9 + 5w) = -4w (18 + 2w) + -1(9 + 5w) = -4w 18 + 2w + (9 * -1 + 5w * -1) = -4w 18 + 2w + (-9 + -5w) = -4w Reorder the terms: 18 + -9 + 2w + -5w = -4w Combine like terms: 18 + -9 = 9 9 + 2w + -5w = -4w Combine like terms: 2w + -5w = -3w 9 + -3w = -4w Solving 9 + -3w = -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. 9 + -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w 9 + 1w = -4w + 4w Combine like terms: -4w + 4w = 0 9 + 1w = 0 Add '-9' to each side of the equation. 9 + -9 + 1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1w = 0 + -9 1w = 0 + -9 Combine like terms: 0 + -9 = -9 1w = -9 Divide each side by '1'. w = -9 Simplifying w = -9
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