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Simplifying 4(w + 5) = 9w + -30 Reorder the terms: 4(5 + w) = 9w + -30 (5 * 4 + w * 4) = 9w + -30 (20 + 4w) = 9w + -30 Reorder the terms: 20 + 4w = -30 + 9w Solving 20 + 4w = -30 + 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 + 4w + -9w = -30 + 9w + -9w Combine like terms: 4w + -9w = -5w 20 + -5w = -30 + 9w + -9w Combine like terms: 9w + -9w = 0 20 + -5w = -30 + 0 20 + -5w = -30 Add '-20' to each side of the equation. 20 + -20 + -5w = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -5w = -30 + -20 -5w = -30 + -20 Combine like terms: -30 + -20 = -50 -5w = -50 Divide each side by '-5'. w = 10 Simplifying w = 10
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