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Simplifying 8 = 5(w + 7) + 4w Reorder the terms: 8 = 5(7 + w) + 4w 8 = (7 * 5 + w * 5) + 4w 8 = (35 + 5w) + 4w Combine like terms: 5w + 4w = 9w 8 = 35 + 9w Solving 8 = 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. 8 + -9w = 35 + 9w + -9w Combine like terms: 9w + -9w = 0 8 + -9w = 35 + 0 8 + -9w = 35 Add '-8' to each side of the equation. 8 + -8 + -9w = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -9w = 35 + -8 -9w = 35 + -8 Combine like terms: 35 + -8 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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