During an audit of an automated accounting system, you are reviewing a discrepancy report. Two adjustment formulas output the mathematical expressions $|-4|$ and $-|-4|$. To ensure the system is processing balances correctly, you need to recall the rules for absolute value and determine their exact values. Which of the following statements correctly evaluates and compares these two expressions?

In an automated inventory system, a script evaluates the expression $|-4|$ to determine a correction magnitude and the expression $-|-4|$ to calculate a final balance adjustment. The value of $|-4|$ is greater than the value of $-|-4|.

In a corporate accounting system, adjustments to account balances are sometimes recorded using absolute value notation to signify the magnitude and direction of the change. Match each expression to its simplified integer value to ensure the ledger is correctly updated.

Evaluating Operational Deviations

A systems analyst is reviewing the calculation logic in a data processing script. To ensure the script correctly evaluates the comparison between $|-4|$ and $-|-4|$, arrange the following steps in the correct order to determine the final relationship.

A booking clerk in a small-business retail office is reconciling billing discrepancies on a ledger. The software outputs two different transaction adjustment formulas: the expression $|-4|$ representing a positive correction, and the expression $-|-4|$ representing its direct opposite adjustment. While $|-4|$ evaluates to the positive integer 4, the expression $-|-4|$ simplifies to the integer ____.

Auditing Balance Adjustments in Credit Union Ledgers