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Simplifying 21 = 4w + 5(w + 6) Reorder the terms: 21 = 4w + 5(6 + w) 21 = 4w + (6 * 5 + w * 5) 21 = 4w + (30 + 5w) Reorder the terms: 21 = 30 + 4w + 5w Combine like terms: 4w + 5w = 9w 21 = 30 + 9w Solving 21 = 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. 21 + -9w = 30 + 9w + -9w Combine like terms: 9w + -9w = 0 21 + -9w = 30 + 0 21 + -9w = 30 Add '-21' to each side of the equation. 21 + -21 + -9w = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -9w = 30 + -21 -9w = 30 + -21 Combine like terms: 30 + -21 = 9 -9w = 9 Divide each side by '-9'. w = -1 Simplifying w = -1
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