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Simplifying 9(w + -5) = 4w + 20 Reorder the terms: 9(-5 + w) = 4w + 20 (-5 * 9 + w * 9) = 4w + 20 (-45 + 9w) = 4w + 20 Reorder the terms: -45 + 9w = 20 + 4w Solving -45 + 9w = 20 + 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. -45 + 9w + -4w = 20 + 4w + -4w Combine like terms: 9w + -4w = 5w -45 + 5w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 -45 + 5w = 20 + 0 -45 + 5w = 20 Add '45' to each side of the equation. -45 + 45 + 5w = 20 + 45 Combine like terms: -45 + 45 = 0 0 + 5w = 20 + 45 5w = 20 + 45 Combine like terms: 20 + 45 = 65 5w = 65 Divide each side by '5'. w = 13 Simplifying w = 13
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