A downhole assembly for tool actuation using pressure delay is provided. The downhole assembly can include a chamber, a pressure path, a pressure damper, a pressure source, and a member. The pressure path can be positioned between first and second ends of the chamber. The pressure damper can reduce a rate at which pressure is communicated in the pressure path. Pressure from the pressure source can be communicated to the first end of the chamber and the second end of the chamber at different rates. The member can be positioned in the chamber between the first end and the second end. The member can actuate a downhole tool in response to a pressure difference between the first end and the second end. The pressure difference can result from a difference in between the first rate and the second rate.
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