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Simplifying 6(n + 2) + 7(n + 8) = 0 Reorder the terms: 6(2 + n) + 7(n + 8) = 0 (2 * 6 + n * 6) + 7(n + 8) = 0 (12 + 6n) + 7(n + 8) = 0 Reorder the terms: 12 + 6n + 7(8 + n) = 0 12 + 6n + (8 * 7 + n * 7) = 0 12 + 6n + (56 + 7n) = 0 Reorder the terms: 12 + 56 + 6n + 7n = 0 Combine like terms: 12 + 56 = 68 68 + 6n + 7n = 0 Combine like terms: 6n + 7n = 13n 68 + 13n = 0 Solving 68 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 13n = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 13n = 0 + -68 13n = 0 + -68 Combine like terms: 0 + -68 = -68 13n = -68 Divide each side by '13'. n = -5.230769231 Simplifying n = -5.230769231
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