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Simplifying (6n + 3) * 5 + 2(3 + 5 + N) = 0 Reorder the terms: (3 + 6n) * 5 + 2(3 + 5 + N) = 0 Reorder the terms for easier multiplication: 5(3 + 6n) + 2(3 + 5 + N) = 0 (3 * 5 + 6n * 5) + 2(3 + 5 + N) = 0 (15 + 30n) + 2(3 + 5 + N) = 0 Combine like terms: 3 + 5 = 8 15 + 30n + 2(8 + N) = 0 15 + 30n + (8 * 2 + N * 2) = 0 15 + 30n + (16 + 2N) = 0 Reorder the terms: 15 + 16 + 2N + 30n = 0 Combine like terms: 15 + 16 = 31 31 + 2N + 30n = 0 Solving 31 + 2N + 30n = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + 2N + -31 + 30n = 0 + -31 Reorder the terms: 31 + -31 + 2N + 30n = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 2N + 30n = 0 + -31 2N + 30n = 0 + -31 Combine like terms: 0 + -31 = -31 2N + 30n = -31 Add '-30n' to each side of the equation. 2N + 30n + -30n = -31 + -30n Combine like terms: 30n + -30n = 0 2N + 0 = -31 + -30n 2N = -31 + -30n Divide each side by '2'. N = -15.5 + -15n Simplifying N = -15.5 + -15n

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