Saw

The combo for the door towards the begining of the level is 831. Just go to the door put in the code and do the memory game. No need to do the rest of the level. I have added a video from youtube to show the memory game per request in the comments. All credit for the video goes to SMacReBorn.

This is a memory game, the locations of what you have to match are RANDOM every time you try to solve this puzzle.
these are what you have to match:
FOOT= HACKSAW
HEART= HEART RATE LINE
JIGSAW PIECE= JIGSAW PIECES
PILLS= PILL BOTTLE
RIFLE= BULLETS
CASSETTE= TAPE PLAYER
CAMERA= CAMERA FILM
HAMMER= NAILS

Simple game of memory.

Easiest way to figure out the matches instead of trying to remembering which ones you chosen already just have a piece of paper and a pencil to write down which ones you chosen already. Take the list of objects needed to match from DarkAdrenaline7 has mentioned to write down the ones you seen. It took me my very first try to net this achievement. The strategy I did was go from the top left corner and write down every object that you see on that TV then just work your way to the right then once you reached the end of the row just go to the next row. Just work your way down each row and if you look at one TV just look at your list to match the ones you're needing to net the achievement. Take note that you must match all the objects to win the puzzle and net you the achievement. Good luck cause it took me a dozen tries without the strategy I came up with to net this achievement because this is the hardest puzzle in the game if you're like me that sucks at remember stuff for a game. Also, if you don't match 5 matches in a row Jeff will die and you'll have to restart the game and every time you restart the TVs aren't the same.