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Simplifying (m + -1n + k)(m + 7n + -8k) = 0 Reorder the terms: (k + m + -1n)(m + 7n + -8k) = 0 Reorder the terms: (k + m + -1n)(-8k + m + 7n) = 0 Multiply (k + m + -1n) * (-8k + m + 7n) (k(-8k + m + 7n) + m(-8k + m + 7n) + -1n * (-8k + m + 7n)) = 0 ((-8k * k + m * k + 7n * k) + m(-8k + m + 7n) + -1n * (-8k + m + 7n)) = 0 Reorder the terms: ((km + 7kn + -8k2) + m(-8k + m + 7n) + -1n * (-8k + m + 7n)) = 0 ((km + 7kn + -8k2) + m(-8k + m + 7n) + -1n * (-8k + m + 7n)) = 0 (km + 7kn + -8k2 + (-8k * m + m * m + 7n * m) + -1n * (-8k + m + 7n)) = 0 Reorder the terms: (km + 7kn + -8k2 + (-8km + 7mn + m2) + -1n * (-8k + m + 7n)) = 0 (km + 7kn + -8k2 + (-8km + 7mn + m2) + -1n * (-8k + m + 7n)) = 0 (km + 7kn + -8k2 + -8km + 7mn + m2 + (-8k * -1n + m * -1n + 7n * -1n)) = 0 (km + 7kn + -8k2 + -8km + 7mn + m2 + (8kn + -1mn + -7n2)) = 0 Reorder the terms: (km + -8km + 7kn + 8kn + -8k2 + 7mn + -1mn + m2 + -7n2) = 0 Combine like terms: km + -8km = -7km (-7km + 7kn + 8kn + -8k2 + 7mn + -1mn + m2 + -7n2) = 0 Combine like terms: 7kn + 8kn = 15kn (-7km + 15kn + -8k2 + 7mn + -1mn + m2 + -7n2) = 0 Combine like terms: 7mn + -1mn = 6mn (-7km + 15kn + -8k2 + 6mn + m2 + -7n2) = 0 Solving -7km + 15kn + -8k2 + 6mn + m2 + -7n2 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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