Us+in=r

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Solution for Us+in=r equation: 


Simplifying
Us + in = r

Reorder the terms:
in + sU = r

Solving
in + sU = r

Solving for variable 'i'.

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

Add '-1sU' to each side of the equation.
in + sU + -1sU = r + -1sU

Combine like terms: sU + -1sU = 0
in + 0 = r + -1sU
in = r + -1sU

Divide each side by 'n'.
i = n-1r + -1n-1sU

Simplifying
i = n-1r + -1n-1sU

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