Wall beds, commonly called Murphy beds, run on a spring or piston lift mechanism under real stored tension, which makes this the one bed on this list where you should never improvise the teardown order.
Pro tip: If you no longer have the manual, most wall bed manufacturers post the assembly and teardown guide on their website by model number, look it up before touching the springs.
Watch out: The lift springs or pistons in a wall bed store real mechanical energy, releasing them out of sequence can cause the bed to drop or the mechanism to snap closed with force, follow the manufacturer's documented release procedure exactly.