To find r, first write out the equation:
[tex] \frac{3r+4}{2} =5[/tex]
Next, multiply both sides by 2:
[tex] 3r+4=10[/tex]
Now, subtract both sides by 4:
[tex] 3r = 6[/tex]
Divide both sides by 3:
[tex]r=2[/tex]
The answer to this problem is r = 2. Hope this helps and have a phenomenal day!