A member fails: what actually happens
Novation gave every participant a single counterparty. That solved their problem by creating one central problem, and the CCP's design is entirely about handling it.
When a clearing member defaults, the CCP still owes everything the defaulter owed. Its obligations to surviving members are unchanged; only its ability to collect from one side has gone.
Its response follows a sequence. It declares the default, taking control of the member's positions. It hedges the resulting exposure, since it is now unmatched on one side and exposed to the market. It closes out the positions, by auction to other members or by trading them in the market. And it allocates whatever loss remains.
The closeout is where the money is lost. The defaulter's positions must be liquidated in whatever conditions caused the default, which are rarely calm, and the difference between their value at declaration and what they fetch is the loss to be covered.
Everything else in this lesson is about having enough resources ready, in a defined order, to cover that number.

