P(x+q)=r

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Solution for P(x+q)=r equation: 


Simplifying
P(x + q) = r

Reorder the terms:
P(q + x) = r
(q * P + x * P) = r
(qP + xP) = r

Solving
qP + 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.
qP + xP + -1xP = r + -1xP

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

Divide each side by 'P'.
q = rP-1 + -1x

Simplifying
q = rP-1 + -1x

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