Make the variable in square brackets the subject: $(p+q)(3r+q)=4r-2$ [$r$].[3]

Assume $3(p+q)\ne4$.

Question

Make the variable in square brackets the subject: $(p+q)(3r+q)=4r-2$ [$r$]. Assume $3(p+q)\ne4$.

Accepted Answer

$r=-\dfrac{q(p+q)+2}{3(p+q)-4}$

Changing the subject of formulae