A Long Way to Fall

Niko meets an Italian mobster named Ray Boccino in a restaurant in Chinatown, Algonquin. Ray asks Niko to do him a favor - kill Teddy Benavidez in the Galveston Projects.

Walkthrough
After the initial cutscene, head over to the projects in Northern Algonquin. On the way, Boccino sends you a text message with a picture of a man with a sports jacket. Remember the number on the jacket and arrive at the projects.

Get out of your car if you took one and find Alonso, the guy with the sports jacket that knows where Teddy is. Target Alonso and after his conversation is complete, kill him and go to the nearby apartment building. Get to the elevator on the radar and take the right elevator up to 20th floor.

A pair of thugs notices the open elevator and asks Niko whether he is moving in. Kill the two thugs before they get their weapons out and go outside of the elevator room. Gain cover and shoot all of the thugs on the way to the stairs. Take the stairs up to the next level and kill the thugs on that level. After you climb a few floors and kill a few dozen thugs, Niko will notice Apartment 151K and breaks in. Get a weapon and shoot Teddy's bodyguards. Teddy is around the corner, walk around the apartment a little.

Teddy smashes a door in Niko's face and makes a run for it. Chase him to the roof of the projects and corner him at the edge of the building. Use any weapon to make Teddy slip off of the side of the building and scream through a 25-story fall. Benavidez will fall onto a patch of grass dead. Niko appears at the front door of the projects and the mission is passed with a call to Ray.

Trivia

 * Any weapon at any angle will kill Teddy. Even if Niko shoots at Teddy at an angle to the side or even behind him, he will still fall back.
 * If you decide to hit Teddy with a bat, he will still fall, even though Niko didnt hit him.
 * If you equip a Molotov or a Grenade, you can exeucute Teddy, sending him falling down the building on fire.
 * On the way to the roof, one of the thugs may be heard shouting to Niko "Wrong time, wrong place". This is a reference to the introductory cut-scene of Saint's Row.
 * If you go back to the same apartment building, the apartment is still enterable and the bricks on the roof, where Teddy falls through, are still loose. It's worth pointing out that if you go up the ladders on the water-tank, it will offer spectacular views of the Alderney City skyline.