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