1Cademy - Simplifying $$-84n + (-73n) + 84n$$

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Commutative Property of Addition

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Simplifying $-84n + (-73n) + 84n$

To simplify the expression $-84n + (-73n) + 84n$ , notice that the first and third terms are opposites. First, apply the commutative property of addition to reorder the terms, bringing the opposites together: $-84n + 84n + (-73n)$ . Next, add the opposites from left to right. By the inverse property of addition, the sum of a number and its opposite is $0$ , so $-84n + 84n = 0$ . This simplifies the expression to $0 + (-73n)$ . Finally, applying the additive identity property, adding $0$ to any term leaves it unchanged, resulting in the final simplified expression $-73n$ .

Updated 2026-06-03

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OpenStax Intermediate Algebra

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As an inventory manager, you are verifying a log of incoming and outgoing batches of a specific part, denoted by $n$ . The log entries form the algebraic expression ${}-84n + (-73n) + 84n$ . Recall the mathematical process taught in this lesson to simplify this expression by arranging the steps in the correct chronological order.
A corporate accountant is reconciling a digital ledger for a recurring expense $n$ . The system shows the following sequence of adjustments for the current period: $-84n + (-73n) + 84n$ . To simplify the final report, the accountant recalls that adding a number to its opposite results in 0. What is the final simplified expression for the net change in the account?
A logistics specialist is reconciling a warehouse ledger for a specific inventory part, $n$ . The adjustment history for the day shows: $-84n + (-73n) + 84n$ . Match each mathematical property with the specific reasoning used to simplify this record.
A corporate training coordinator is illustrating algebraic simplification using the expression $-84n + (-73n) + 84n$ . True or False: To group the opposite terms together as the first step, the coordinator can reorder the expression as $-84n + 84n + (-73n)$ by applying the Commutative Property of Addition.
A financial auditor is reconciling account balances represented by the expression $-84n + (-73n) + 84n$ . To simplify, the auditor first reorders the terms to $-84n + 84n + (-73n)$ . They then sum the opposites, noting that $-84n + 84n = 0$ . This specific step of adding a term and its opposite to get $0$ demonstrates the ____ property of addition.
Recalling Properties of Addition for Code Optimization
Inventory Audit Training Reconciliations

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