2(3p+1)> -4 i don't understand what to do after i distribute 2 into 3p + 1

First, distribute the 2. 
2(3p+1)>-4 
6p+2>-4 

Second, subtract 2 from both sides. 
6p+2>-4 
     -2   -2 

6p > -6 

Third, divide both sides by 6. 
6p > -6 
---     ---
6        6 

p>-1 

So the answer is p>-1.