Find the partial fraction decomposition. 
Definitions:
Actual Reserves
The sum of money a bank holds in its vault or with the central bank, ready to satisfy withdrawal requests or comply with regulatory obligations.
Required Reserves
The minimum amount of funds that a bank must hold in reserve against deposits, as mandated by monetary authorities.
Excess Reserves
The reserves that banks hold over and above the legally mandated minimum to meet withdrawal demands.
Federal Reserve Open Market Committee
The branch of the Federal Reserve System responsible for influencing money supply and credit conditions through the trading of government securities.
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