Activate Blasting Station by tapping it and sacrificing Putrid Goblin
When Putrid Goblin dies, its persist ability triggers, returning it from your graveyard to the battlefield with a -1/-1 counter on it.
When Putrid Goblin enters, Blasting Station and Stalwart Successor trigger.
Resolve the Blasting Station trigger, untapping it
Resolve the Stalwart Successor trigger, putting a +1/+1 counter on Putrid Goblin
Resolve the Blasting Station ability from step 1
Repeat.
This clever loop transforms Putrid Goblin into an endless loop of ammunition for Blasting Station. Normally, the creature's persist ability would weigh it down with a -1/-1 counter and stop it from coming back a second time, but Stalwart Successor cleverly circumvents this drawback by automatically granting a +1/+1 counter whenever counters are placed on it for the first time each turn. Because +1/+1 and -1/-1 counters annihilate each other through state-based actions, Putrid Goblin's slate is wiped clean every single time it re-enters the battlefield, allowing you to sacrifice it repeatedly to deal infinite damage to any target.