Let's solve the given equation to get the answer.
4p + 7 = 3 + 4 + 4p
4p+7=7+4p By simplifying.
4p+7-4p=7+4p-4p By subtracting 4p from each sides.
7=7
From the above result notice that p has vanish and we are left with 7=7.
So, there is infinitely many solutions.