Px-qz=r

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Solution for Px-qz=r equation: 


Simplifying
Px + -1qz = r

Reorder the terms:
-1qz + xP = r

Solving
-1qz + xP = r

Solving for variable 'q'.

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

Add '-1xP' to each side of the equation.
-1qz + xP + -1xP = r + -1xP

Combine like terms: xP + -1xP = 0
-1qz + 0 = r + -1xP
-1qz = r + -1xP

Divide each side by '-1z'.
q = -1rz-1 + xz-1P

Simplifying
q = -1rz-1 + xz-1P

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