Question
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Rewrite in simplest terms: \( -9(-n+8)-9(-8 n-2) \)

Ask by Barker Bird. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The simplified form of the expression is \( 81n - 54 \).

Solution

To simplify the expression \( -9(-n + 8) - 9(-8n - 2) \), follow these steps: 1. **Distribute the -9 to each term inside the parentheses:** \[ -9(-n) + (-9)(8) - 9(-8n) + (-9)(-2) \] 2. **Calculate each multiplication:** \[ 9n - 72 + 72n + 18 \] 3. **Combine like terms:** \[ (9n + 72n) + (-72 + 18) = 81n - 54 \] So, the expression simplified to its simplest form is: \[ 81n - 54 \]

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Simplify this solution

Mind Expander

First, let's distribute the \(-9\) in both parts: \(-9(-n + 8)\) becomes \(9n - 72\), and \(-9(-8n - 2)\) becomes \(72n + 18\). Now, combine these results: \(9n - 72 + 72n + 18\) simplifies to \(81n - 54\). So, the rewritten expression in simplest terms is \(81n - 54\).

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