Question
Rewrite in simplest terms: 10, left parenthesis, minus, 7, k, minus, 9, m, right parenthesis, plus, 4, m, minus, 5, left parenthesis, 3, m, plus, k, right parenthesis10(−7k−9m)+4m−5(3m+k)
Answers
Answered by
GPT-4o mini
To simplify the expression \( 10(-7k - 9m) + 4m - 5(3m + k) \), we can follow these steps:
1. Distribute \( 10 \) and \( -5 \):
\[
10(-7k) + 10(-9m) + 4m - 5(3m) - 5(k)
\]
This simplifies to:
\[
-70k - 90m + 4m - 15m - 5k
\]
2. Combine like terms:
- For \( k \) terms: \( -70k - 5k = -75k \)
- For \( m \) terms: \( -90m + 4m - 15m = -101m \)
3. Put it all together:
\[
-75k - 101m
\]
The simplified expression is:
\[
-75k - 101m
\]
1. Distribute \( 10 \) and \( -5 \):
\[
10(-7k) + 10(-9m) + 4m - 5(3m) - 5(k)
\]
This simplifies to:
\[
-70k - 90m + 4m - 15m - 5k
\]
2. Combine like terms:
- For \( k \) terms: \( -70k - 5k = -75k \)
- For \( m \) terms: \( -90m + 4m - 15m = -101m \)
3. Put it all together:
\[
-75k - 101m
\]
The simplified expression is:
\[
-75k - 101m
\]