Answer:
[tex]p=1[/tex]
Step-by-step explanation:
The reciprocal of 3 is [tex]\frac{1}{3}[/tex]
and since [tex]\frac{1}{2p+1} and \frac{1}{3}[/tex] share the same numerator we just need to set the deominators equal to each other
[tex]2p+1=3[/tex]
Subtract both sides by 1
[tex]2p=2[/tex]
Divide both sides by 2
[tex]p=1[/tex]
I hope this helps :)