(M-n+k)(m+7n-7k)=0

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Solution for (M-n+k)(m+7n-7k)=0 equation: 


Simplifying
(M + -1n + k)(m + 7n + -7k) = 0

Reorder the terms:
(M + k + -1n)(m + 7n + -7k) = 0

Reorder the terms:
(M + k + -1n)(-7k + m + 7n) = 0

Multiply (M + k + -1n) * (-7k + m + 7n)
(M(-7k + m + 7n) + k(-7k + m + 7n) + -1n * (-7k + m + 7n)) = 0
((-7k * M + m * M + 7n * M) + k(-7k + m + 7n) + -1n * (-7k + m + 7n)) = 0
((-7kM + mM + 7nM) + k(-7k + m + 7n) + -1n * (-7k + m + 7n)) = 0
(-7kM + mM + 7nM + (-7k * k + m * k + 7n * k) + -1n * (-7k + m + 7n)) = 0

Reorder the terms:
(-7kM + mM + 7nM + (km + 7kn + -7k2) + -1n * (-7k + m + 7n)) = 0
(-7kM + mM + 7nM + (km + 7kn + -7k2) + -1n * (-7k + m + 7n)) = 0
(-7kM + mM + 7nM + km + 7kn + -7k2 + (-7k * -1n + m * -1n + 7n * -1n)) = 0
(-7kM + mM + 7nM + km + 7kn + -7k2 + (7kn + -1mn + -7n2)) = 0

Reorder the terms:
(-7kM + km + 7kn + 7kn + -7k2 + mM + -1mn + 7nM + -7n2) = 0

Combine like terms: 7kn + 7kn = 14kn
(-7kM + km + 14kn + -7k2 + mM + -1mn + 7nM + -7n2) = 0

Solving
-7kM + km + 14kn + -7k2 + mM + -1mn + 7nM + -7n2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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