Mk+nm=gs

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Solution for Mk+nm=gs equation: 


Simplifying
Mk + nm = gs

Solving
kM + mn = gs

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 = gs + -1mn

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

Divide each side by 'M'.
k = gsM-1 + -1mnM-1

Simplifying
k = gsM-1 + -1mnM-1

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