There are several synonyms for the expression "balances books" which refer to the process of ensuring that accounting records are accurate and properly match the transactions that have occurred. One term commonly used is "reconciling accounts", which involves comparing bank statements with an organization's financial records. Another synonym is "verifying accounts", which involves checking the details of individual transactions to ensure that they are correctly recorded. Additionally, "auditing books" is another synonym, which involves a more comprehensive review of an organization's financial records to ensure that they comply with accounting standards and laws. Ultimately, all of these terms refer to the importance of maintaining accurate accounting records to ensure the financial health and stability of an organization.