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Simplifying 4(w + 2) = -5w + 35 Reorder the terms: 4(2 + w) = -5w + 35 (2 * 4 + w * 4) = -5w + 35 (8 + 4w) = -5w + 35 Reorder the terms: 8 + 4w = 35 + -5w Solving 8 + 4w = 35 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 8 + 4w + 5w = 35 + -5w + 5w Combine like terms: 4w + 5w = 9w 8 + 9w = 35 + -5w + 5w Combine like terms: -5w + 5w = 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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