When an equation isn't set to equal anything, as the one above, one can typically assume it equals zero:
2(3p+2)+19p=0
Since you always solve in PEMDAS order, start by distributing into the parantheses:
2(3p+2)+19p=0
(6p+4)+19p=0
As you can't simplify the parantheses any more, they're unnecessary. After getting rid of them, combine like terms:
6p+4+19p=0
25p+4=0
Isolate the variable (p):
25p=-4
And, finally, divide to find the final answer:
p= -4/25
Always check to see if the final answer can be simplified any further. In this case, it can't, so your final answer is:
p=-4/25