up+uq=r

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Solution for up+uq=r equation: 


Simplifying
up + uq = r

Solving
pu + qu = r

Solving for variable 'p'.

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

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

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

Divide each side by 'u'.
p = -1q + ru-1

Simplifying
p = -1q + ru-1

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