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Simplifying -9(w + -4) = -5w + 4 Reorder the terms: -9(-4 + w) = -5w + 4 (-4 * -9 + w * -9) = -5w + 4 (36 + -9w) = -5w + 4 Reorder the terms: 36 + -9w = 4 + -5w Solving 36 + -9w = 4 + -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. 36 + -9w + 5w = 4 + -5w + 5w Combine like terms: -9w + 5w = -4w 36 + -4w = 4 + -5w + 5w Combine like terms: -5w + 5w = 0 36 + -4w = 4 + 0 36 + -4w = 4 Add '-36' to each side of the equation. 36 + -36 + -4w = 4 + -36 Combine like terms: 36 + -36 = 0 0 + -4w = 4 + -36 -4w = 4 + -36 Combine like terms: 4 + -36 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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