Answer
no solutions.
Work Step by Step
$|8r+1|=3r$ implies $8r+1=3r\\1=-5r\\r=-0.2$ or $8r+1=-3r\\1=-11r\\r=\frac{-1}{11}$.
Here $r=-0.2$ and $r=\frac{-1}{11}$ are extraneous solutions. Thus we have no solutions.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.