us+uq=r

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Solution for us+uq=r equation: 


Simplifying
us + uq = r

Reorder the terms:
qu + su = r

Solving
qu + su = r

Solving for variable 'q'.

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

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

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

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

Simplifying
q = ru-1 + -1s

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