1-|3p+1|=-3

3p+1=-4

3p=-3

p=-1

As expected, the bot screwed it up again.

1-|3p+1|=-3
-|3p+1| = -4
|3p + 1| = 4
3p + 1 = 4 OR -3p - 1 = 4
3p = 3 OR -3p = 5
p = 1 or p = -5/3