Question
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:
\[
81n - 54
\]
Reviewed and approved by the UpStudy tutoring team
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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 \(81n - 54\).