Uf+up=r

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Solution for Uf+up=r equation: 


Simplifying
Uf + up = r

Solving
fU + pu = r

Solving for variable 'f'.

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

Add '-1pu' to each side of the equation.
fU + pu + -1pu = -1pu + r

Combine like terms: pu + -1pu = 0
fU + 0 = -1pu + r
fU = -1pu + r

Divide each side by 'U'.
f = -1puU-1 + rU-1

Simplifying
f = -1puU-1 + rU-1

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