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Simplifying 26 = 5(w + 7) + 4w Reorder the terms: 26 = 5(7 + w) + 4w 26 = (7 * 5 + w * 5) + 4w 26 = (35 + 5w) + 4w Combine like terms: 5w + 4w = 9w 26 = 35 + 9w Solving 26 = 35 + 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. 26 + -9w = 35 + 9w + -9w Combine like terms: 9w + -9w = 0 26 + -9w = 35 + 0 26 + -9w = 35 Add '-26' to each side of the equation. 26 + -26 + -9w = 35 + -26 Combine like terms: 26 + -26 = 0 0 + -9w = 35 + -26 -9w = 35 + -26 Combine like terms: 35 + -26 = 9 -9w = 9 Divide each side by '-9'. w = -1 Simplifying w = -1
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