it is TM no. 36
You can get the Sludge Bomb TM in Route 43 or you can buy Sludge Bomb at the Battle Frontier.
it's in Rocket Warehouse on Chrono Island.
inside the rocket warehouse on the fifth island.
on island 5 in the rocket ware house
somewhere in shoal cave somewhere in shoal cave
Sludge bomb: team rocket HQ (island 5)
in the warehouse at veilstone good luck trainers.
You find the sludge bomb, team rocket HQ on island 5.
TM 16 is Light Screen and you can buy it in the Goldenrod Department Store.
the most usall Pokemon to learn slude bomb are Poison type Pokemons or buy the HM or TM at a store (grimer, muk, arbok, Golbat,)
Nidoking is a Poison and Ground Type Pokemon. You can either get by trading or by evolving a Nidorino with a Moonstone. You can evolve a Nidoran♂ at level 16 or 17. Some of Nidoking's best moves are Earthquake, Mega Horn, and Sludge Bomb. However, Sludge Bomb is a TM that you can only earn once in FireRed.
In dewford town a house will have a guy with glasses and black hair he will give it to u