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Simplifying 5(w + 4) + 3(w + 7) = 0 Reorder the terms: 5(4 + w) + 3(w + 7) = 0 (4 * 5 + w * 5) + 3(w + 7) = 0 (20 + 5w) + 3(w + 7) = 0 Reorder the terms: 20 + 5w + 3(7 + w) = 0 20 + 5w + (7 * 3 + w * 3) = 0 20 + 5w + (21 + 3w) = 0 Reorder the terms: 20 + 21 + 5w + 3w = 0 Combine like terms: 20 + 21 = 41 41 + 5w + 3w = 0 Combine like terms: 5w + 3w = 8w 41 + 8w = 0 Solving 41 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 8w = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 8w = 0 + -41 8w = 0 + -41 Combine like terms: 0 + -41 = -41 8w = -41 Divide each side by '8'. w = -5.125 Simplifying w = -5.125
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