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Simplifying 7(n + 3) + 4(n + 5) = 0 Reorder the terms: 7(3 + n) + 4(n + 5) = 0 (3 * 7 + n * 7) + 4(n + 5) = 0 (21 + 7n) + 4(n + 5) = 0 Reorder the terms: 21 + 7n + 4(5 + n) = 0 21 + 7n + (5 * 4 + n * 4) = 0 21 + 7n + (20 + 4n) = 0 Reorder the terms: 21 + 20 + 7n + 4n = 0 Combine like terms: 21 + 20 = 41 41 + 7n + 4n = 0 Combine like terms: 7n + 4n = 11n 41 + 11n = 0 Solving 41 + 11n = 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 + 11n = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 11n = 0 + -41 11n = 0 + -41 Combine like terms: 0 + -41 = -41 11n = -41 Divide each side by '11'. n = -3.727272727 Simplifying n = -3.727272727
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