Extract the ZIP file. You should obtain a directory, with a "runner" file (and another subdirectory)
Give permissions to execute this file :
Then, just launch the runner file.
IF THE GAME DOESN'T LAUNCH :
You need to install additional packages. Open a command line, then type the following commands :
sudo apt-get install libopenal1
sudo apt-get install libopenal1:i386
sudo apt-get install lib32z1
sudo apt-get install lib32ncurses5
sudo apt-get install lib32bz2-1.0
sudo apt-get install libstdc++6:i386
sudo apt-get install libxxf86vm1
sudo apt-get install libssl1.0.0:i386
sudo apt-get install libglu1:i386
sudo apt-get install libxrandr-dev
sudo apt-get install libxrandr2:i386
sudo apt-get install libcurl3:i386
Then try to launch the runner file again.
This page might also help you : http://gmc.yoyogames.com/index.php?showtopic=647964
TROUBLESHOOTING :
This game has been made with Game Maker Studio, which officially supports the Ubuntu distribution. (12.04+)
All other Linux distributions are not officially supported, and the game may or may not work on them.
(For example, it has been tested to run perfectly with the Mint distribution)
In case of trouble, please send a message over the game forum.