Solve for p
\left\{\begin{matrix}p=-\frac{m}{3-q}\text{, }&q\neq 3\\p\in \mathrm{R}\text{, }&m=0\text{ and }q=3\end{matrix}\right.
Solve for m
m=p\left(q-3\right)
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-3p+pq=m
Swap sides so that all variable terms are on the left hand side.
\left(-3+q\right)p=m
Combine all terms containing p.
\left(q-3\right)p=m
The equation is in standard form.
\frac{\left(q-3\right)p}{q-3}=\frac{m}{q-3}
Divide both sides by q-3.
p=\frac{m}{q-3}
Dividing by q-3 undoes the multiplication by q-3.
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