slide out
1. To exit or eject (from some place, area, or thing) in a smooth, effortless, or inconspicuous manner. I slid out of the room before the teacher noticed me. Once you release the catch, the disk drive should slide right out!
2. To cause or force someone or something to exit or eject (from some place, area, or thing) in a smooth, effortless, or inconspicuous manner. He slid his son out of the wet clothes and wrapped him up in a warm, fluffy towel. You'll need to be very careful when you slide out the cable.