ru+uz=x

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Solution for ru+uz=x equation: 


Simplifying
ru + uz = x

Solving
ru + uz = x

Solving for variable 'r'.

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

Add '-1uz' to each side of the equation.
ru + uz + -1uz = -1uz + x

Combine like terms: uz + -1uz = 0
ru + 0 = -1uz + x
ru = -1uz + x

Divide each side by 'u'.
r = -1z + u-1x

Simplifying
r = -1z + u-1x

Reorder the terms:
r = u-1x + -1z

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