mk-mn=gs

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Solution for mk-mn=gs equation: 


Simplifying
mk + -1mn = gs

Solving
km + -1mn = gs

Solving for variable 'k'.

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

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

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

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

Simplifying
k = gm-1s + n

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