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Simplifying 7(n + 8) + 4(n + 1) = 0 Reorder the terms: 7(8 + n) + 4(n + 1) = 0 (8 * 7 + n * 7) + 4(n + 1) = 0 (56 + 7n) + 4(n + 1) = 0 Reorder the terms: 56 + 7n + 4(1 + n) = 0 56 + 7n + (1 * 4 + n * 4) = 0 56 + 7n + (4 + 4n) = 0 Reorder the terms: 56 + 4 + 7n + 4n = 0 Combine like terms: 56 + 4 = 60 60 + 7n + 4n = 0 Combine like terms: 7n + 4n = 11n 60 + 11n = 0 Solving 60 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 11n = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 11n = 0 + -60 11n = 0 + -60 Combine like terms: 0 + -60 = -60 11n = -60 Divide each side by '11'. n = -5.454545455 Simplifying n = -5.454545455
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