rin-5k+ar=r-5y

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Solution for rin-5k+ar=r-5y equation: 


Simplifying
rin + -5k + ar = r + -5y

Reorder the terms:
ar + inr + -5k = r + -5y

Solving
ar + inr + -5k = r + -5y

Solving for variable 'a'.

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

Add '-1inr' to each side of the equation.
ar + inr + -1inr + -5k = r + -1inr + -5y

Combine like terms: inr + -1inr = 0
ar + 0 + -5k = r + -1inr + -5y
ar + -5k = r + -1inr + -5y

Reorder the terms:
ar + -5k = -1inr + r + -5y

Add '5k' to each side of the equation.
ar + -5k + 5k = -1inr + r + 5k + -5y

Combine like terms: -5k + 5k = 0
ar + 0 = -1inr + r + 5k + -5y
ar = -1inr + r + 5k + -5y

Reorder the terms:
ar = -1inr + 5k + r + -5y

Divide each side by 'r'.
a = -1in + 5kr-1 + 1 + -5r-1y

Simplifying
a = -1in + 5kr-1 + 1 + -5r-1y

Reorder the terms:
a = 1 + -1in + 5kr-1 + -5r-1y

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