Ak-r=s

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Solution for Ak-r=s equation: 


Simplifying
Ak + -1r = s

Solving
kA + -1r = s

Solving for variable 'k'.

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

Add 'r' to each side of the equation.
kA + -1r + r = r + s

Combine like terms: -1r + r = 0
kA + 0 = r + s
kA = r + s

Divide each side by 'A'.
k = rA-1 + sA-1

Simplifying
k = rA-1 + sA-1

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