Nr+Na=1

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Solution for Nr+Na=1 equation: 


Simplifying
Nr + Na = 1

Reorder the terms:
aN + rN = 1

Solving
aN + rN = 1

Solving for variable 'a'.

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

Add '-1rN' to each side of the equation.
aN + rN + -1rN = 1 + -1rN

Combine like terms: rN + -1rN = 0
aN + 0 = 1 + -1rN
aN = 1 + -1rN

Divide each side by 'N'.
a = N-1 + -1r

Simplifying
a = N-1 + -1r

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