Up+uz=r

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Solution for Up+uz=r equation: 


Simplifying
Up + uz = r

Solving
pU + uz = r

Solving for variable 'p'.

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

Add '-1uz' to each side of the equation.
pU + uz + -1uz = r + -1uz

Combine like terms: uz + -1uz = 0
pU + 0 = r + -1uz
pU = r + -1uz

Divide each side by 'U'.
p = rU-1 + -1uzU-1

Simplifying
p = rU-1 + -1uzU-1

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