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Simplifying 5(w + -4) = 9w Reorder the terms: 5(-4 + w) = 9w (-4 * 5 + w * 5) = 9w (-20 + 5w) = 9w Solving -20 + 5w = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -20 + 5w + -9w = 9w + -9w Combine like terms: 5w + -9w = -4w -20 + -4w = 9w + -9w Combine like terms: 9w + -9w = 0 -20 + -4w = 0 Add '20' to each side of the equation. -20 + 20 + -4w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -4w = 0 + 20 -4w = 0 + 20 Combine like terms: 0 + 20 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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