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Simplifying (m + -1n + k)(m + 8n + -5k) = 0 Reorder the terms: (k + m + -1n)(m + 8n + -5k) = 0 Reorder the terms: (k + m + -1n)(-5k + m + 8n) = 0 Multiply (k + m + -1n) * (-5k + m + 8n) (k(-5k + m + 8n) + m(-5k + m + 8n) + -1n * (-5k + m + 8n)) = 0 ((-5k * k + m * k + 8n * k) + m(-5k + m + 8n) + -1n * (-5k + m + 8n)) = 0 Reorder the terms: ((km + 8kn + -5k2) + m(-5k + m + 8n) + -1n * (-5k + m + 8n)) = 0 ((km + 8kn + -5k2) + m(-5k + m + 8n) + -1n * (-5k + m + 8n)) = 0 (km + 8kn + -5k2 + (-5k * m + m * m + 8n * m) + -1n * (-5k + m + 8n)) = 0 Reorder the terms: (km + 8kn + -5k2 + (-5km + 8mn + m2) + -1n * (-5k + m + 8n)) = 0 (km + 8kn + -5k2 + (-5km + 8mn + m2) + -1n * (-5k + m + 8n)) = 0 (km + 8kn + -5k2 + -5km + 8mn + m2 + (-5k * -1n + m * -1n + 8n * -1n)) = 0 (km + 8kn + -5k2 + -5km + 8mn + m2 + (5kn + -1mn + -8n2)) = 0 Reorder the terms: (km + -5km + 8kn + 5kn + -5k2 + 8mn + -1mn + m2 + -8n2) = 0 Combine like terms: km + -5km = -4km (-4km + 8kn + 5kn + -5k2 + 8mn + -1mn + m2 + -8n2) = 0 Combine like terms: 8kn + 5kn = 13kn (-4km + 13kn + -5k2 + 8mn + -1mn + m2 + -8n2) = 0 Combine like terms: 8mn + -1mn = 7mn (-4km + 13kn + -5k2 + 7mn + m2 + -8n2) = 0 Solving -4km + 13kn + -5k2 + 7mn + m2 + -8n2 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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