uk+uq=r

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Solution for uk+uq=r equation: 


Simplifying
uk + uq = r

Solving
ku + qu = r

Solving for variable 'k'.

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

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

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

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

Simplifying
k = -1q + ru-1

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