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Simplifying 3(5 + -1n(n + 8)) + -13 = 5(6 + -1N) Reorder the terms: 3(5 + -1n(8 + n)) + -13 = 5(6 + -1N) 3(5 + (8 * -1n + n * -1n)) + -13 = 5(6 + -1N) 3(5 + (-8n + -1n2)) + -13 = 5(6 + -1N) (5 * 3 + -8n * 3 + -1n2 * 3) + -13 = 5(6 + -1N) (15 + -24n + -3n2) + -13 = 5(6 + -1N) Reorder the terms: 15 + -13 + -24n + -3n2 = 5(6 + -1N) Combine like terms: 15 + -13 = 2 2 + -24n + -3n2 = 5(6 + -1N) 2 + -24n + -3n2 = (6 * 5 + -1N * 5) 2 + -24n + -3n2 = (30 + -5N) Solving 2 + -24n + -3n2 = 30 + -5N Solving for variable 'n'. Reorder the terms: 2 + -30 + 5N + -24n + -3n2 = 30 + -5N + -30 + 5N Combine like terms: 2 + -30 = -28 -28 + 5N + -24n + -3n2 = 30 + -5N + -30 + 5N Reorder the terms: -28 + 5N + -24n + -3n2 = 30 + -30 + -5N + 5N Combine like terms: 30 + -30 = 0 -28 + 5N + -24n + -3n2 = 0 + -5N + 5N -28 + 5N + -24n + -3n2 = -5N + 5N Combine like terms: -5N + 5N = 0 -28 + 5N + -24n + -3n2 = 0 The solution to this equation could not be determined.
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