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Simplifying -9(w + -1) = -4w + 19 Reorder the terms: -9(-1 + w) = -4w + 19 (-1 * -9 + w * -9) = -4w + 19 (9 + -9w) = -4w + 19 Reorder the terms: 9 + -9w = 19 + -4w Solving 9 + -9w = 19 + -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 + -9w + 4w = 19 + -4w + 4w Combine like terms: -9w + 4w = -5w 9 + -5w = 19 + -4w + 4w Combine like terms: -4w + 4w = 0 9 + -5w = 19 + 0 9 + -5w = 19 Add '-9' to each side of the equation. 9 + -9 + -5w = 19 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = 19 + -9 -5w = 19 + -9 Combine like terms: 19 + -9 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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