mk+mn=r

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Solution for mk+mn=r equation: 


Simplifying
mk + mn = r

Solving
km + mn = r

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-1mn' to each side of the equation.
km + mn + -1mn = -1mn + r

Combine like terms: mn + -1mn = 0
km + 0 = -1mn + r
km = -1mn + r

Divide each side by 'm'.
k = -1n + m-1r

Simplifying
k = -1n + m-1r

Reorder the terms:
k = m-1r + -1n

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