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Simplifying (m + -1n + -1k)(m + 8n + -8k) = 0 Reorder the terms: (-1k + m + -1n)(m + 8n + -8k) = 0 Reorder the terms: (-1k + m + -1n)(-8k + m + 8n) = 0 Multiply (-1k + m + -1n) * (-8k + m + 8n) (-1k * (-8k + m + 8n) + m(-8k + m + 8n) + -1n * (-8k + m + 8n)) = 0 ((-8k * -1k + m * -1k + 8n * -1k) + m(-8k + m + 8n) + -1n * (-8k + m + 8n)) = 0 Reorder the terms: ((-1km + -8kn + 8k2) + m(-8k + m + 8n) + -1n * (-8k + m + 8n)) = 0 ((-1km + -8kn + 8k2) + m(-8k + m + 8n) + -1n * (-8k + m + 8n)) = 0 (-1km + -8kn + 8k2 + (-8k * m + m * m + 8n * m) + -1n * (-8k + m + 8n)) = 0 Reorder the terms: (-1km + -8kn + 8k2 + (-8km + 8mn + m2) + -1n * (-8k + m + 8n)) = 0 (-1km + -8kn + 8k2 + (-8km + 8mn + m2) + -1n * (-8k + m + 8n)) = 0 (-1km + -8kn + 8k2 + -8km + 8mn + m2 + (-8k * -1n + m * -1n + 8n * -1n)) = 0 (-1km + -8kn + 8k2 + -8km + 8mn + m2 + (8kn + -1mn + -8n2)) = 0 Reorder the terms: (-1km + -8km + -8kn + 8kn + 8k2 + 8mn + -1mn + m2 + -8n2) = 0 Combine like terms: -1km + -8km = -9km (-9km + -8kn + 8kn + 8k2 + 8mn + -1mn + m2 + -8n2) = 0 Combine like terms: -8kn + 8kn = 0 (-9km + 0 + 8k2 + 8mn + -1mn + m2 + -8n2) = 0 (-9km + 8k2 + 8mn + -1mn + m2 + -8n2) = 0 Combine like terms: 8mn + -1mn = 7mn (-9km + 8k2 + 7mn + m2 + -8n2) = 0 Solving -9km + 8k2 + 7mn + m2 + -8n2 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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