Question
Rewrite in simplest terms: \( -5(-3 k-2 m)+8 m-3(2 m+3 k \)
Ask by Elliott Pollard. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(6k + 12m\)
Solution
Let's simplify the expression step by step:
\[
-5(-3k - 2m) + 8m - 3(2m + 3k)
\]
1. **Distribute the \(-5\) and \(-3\) across the parentheses:**
\[
= (-5)(-3k) + (-5)(-2m) + 8m + (-3)(2m) + (-3)(3k)
\]
\[
= 15k + 10m + 8m - 6m - 9k
\]
2. **Combine like terms:**
\[
15k - 9k = 6k
\]
\[
10m + 8m - 6m = 12m
\]
3. **Write the simplified expression:**
\[
6k + 12m
\]
**Final Answer:**
\(6k + 12m\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
Let's break it down step by step! First, distribute the negative signs: Start with \( -5(-3k - 2m) \): This becomes \( 15k + 10m \) after distributing. Now for \( -3(2m + 3k) \): This becomes \( -6m - 9k \) after distributing. So, we combine everything together: \[ 15k + 10m + 8m - 6m - 9k \]. Now, combine like terms: For \( k \) terms: \( 15k - 9k = 6k \) For \( m \) terms: \( 10m + 8m - 6m = 12m \) Putting it all together, we get: \[ 6k + 12m \]. So the simplified expression is \( 6k + 12m \).
