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Simplifying 9w = 40 + (4w + 5) Reorder the terms: 9w = 40 + (5 + 4w) Remove parenthesis around (5 + 4w) 9w = 40 + 5 + 4w Combine like terms: 40 + 5 = 45 9w = 45 + 4w Solving 9w = 45 + 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. 9w + -4w = 45 + 4w + -4w Combine like terms: 9w + -4w = 5w 5w = 45 + 4w + -4w Combine like terms: 4w + -4w = 0 5w = 45 + 0 5w = 45 Divide each side by '5'. w = 9 Simplifying w = 9
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