md+mc=n

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Solution for md+mc=n equation: 


Simplifying
md + mc = n

Reorder the terms:
cm + dm = n

Solving
cm + dm = n

Solving for variable 'c'.

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

Add '-1dm' to each side of the equation.
cm + dm + -1dm = -1dm + n

Combine like terms: dm + -1dm = 0
cm + 0 = -1dm + n
cm = -1dm + n

Divide each side by 'm'.
c = -1d + m-1n

Simplifying
c = -1d + m-1n

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