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Simplifying -9(w + 3) = -5w + 9 Reorder the terms: -9(3 + w) = -5w + 9 (3 * -9 + w * -9) = -5w + 9 (-27 + -9w) = -5w + 9 Reorder the terms: -27 + -9w = 9 + -5w Solving -27 + -9w = 9 + -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. -27 + -9w + 5w = 9 + -5w + 5w Combine like terms: -9w + 5w = -4w -27 + -4w = 9 + -5w + 5w Combine like terms: -5w + 5w = 0 -27 + -4w = 9 + 0 -27 + -4w = 9 Add '27' to each side of the equation. -27 + 27 + -4w = 9 + 27 Combine like terms: -27 + 27 = 0 0 + -4w = 9 + 27 -4w = 9 + 27 Combine like terms: 9 + 27 = 36 -4w = 36 Divide each side by '-4'. w = -9 Simplifying w = -9
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