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Simplifying 5(n + 3) + 6(n + 2) = 0 Reorder the terms: 5(3 + n) + 6(n + 2) = 0 (3 * 5 + n * 5) + 6(n + 2) = 0 (15 + 5n) + 6(n + 2) = 0 Reorder the terms: 15 + 5n + 6(2 + n) = 0 15 + 5n + (2 * 6 + n * 6) = 0 15 + 5n + (12 + 6n) = 0 Reorder the terms: 15 + 12 + 5n + 6n = 0 Combine like terms: 15 + 12 = 27 27 + 5n + 6n = 0 Combine like terms: 5n + 6n = 11n 27 + 11n = 0 Solving 27 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11n = 0 + -27 11n = 0 + -27 Combine like terms: 0 + -27 = -27 11n = -27 Divide each side by '11'. n = -2.454545455 Simplifying n = -2.454545455
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