Ak-r=an

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Solution for Ak-r=an equation: 


Simplifying
Ak + -1r = an

Solving
kA + -1r = an

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 = an + r

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

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

Simplifying
k = anA-1 + rA-1

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