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Simplifying (m + -1n + k)(m + 4n + -7k) = 0 Reorder the terms: (k + m + -1n)(m + 4n + -7k) = 0 Reorder the terms: (k + m + -1n)(-7k + m + 4n) = 0 Multiply (k + m + -1n) * (-7k + m + 4n) (k(-7k + m + 4n) + m(-7k + m + 4n) + -1n * (-7k + m + 4n)) = 0 ((-7k * k + m * k + 4n * k) + m(-7k + m + 4n) + -1n * (-7k + m + 4n)) = 0 Reorder the terms: ((km + 4kn + -7k2) + m(-7k + m + 4n) + -1n * (-7k + m + 4n)) = 0 ((km + 4kn + -7k2) + m(-7k + m + 4n) + -1n * (-7k + m + 4n)) = 0 (km + 4kn + -7k2 + (-7k * m + m * m + 4n * m) + -1n * (-7k + m + 4n)) = 0 Reorder the terms: (km + 4kn + -7k2 + (-7km + 4mn + m2) + -1n * (-7k + m + 4n)) = 0 (km + 4kn + -7k2 + (-7km + 4mn + m2) + -1n * (-7k + m + 4n)) = 0 (km + 4kn + -7k2 + -7km + 4mn + m2 + (-7k * -1n + m * -1n + 4n * -1n)) = 0 (km + 4kn + -7k2 + -7km + 4mn + m2 + (7kn + -1mn + -4n2)) = 0 Reorder the terms: (km + -7km + 4kn + 7kn + -7k2 + 4mn + -1mn + m2 + -4n2) = 0 Combine like terms: km + -7km = -6km (-6km + 4kn + 7kn + -7k2 + 4mn + -1mn + m2 + -4n2) = 0 Combine like terms: 4kn + 7kn = 11kn (-6km + 11kn + -7k2 + 4mn + -1mn + m2 + -4n2) = 0 Combine like terms: 4mn + -1mn = 3mn (-6km + 11kn + -7k2 + 3mn + m2 + -4n2) = 0 Solving -6km + 11kn + -7k2 + 3mn + m2 + -4n2 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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