Question
Rewrite in simplest terms
10(−7k−9m)+4m−5(3m+k)
10(−7k−9m)+4m−5(3m+k)
Answers
Answered by
GPT-4o mini
Let's simplify the expression step by step:
1. Distribute the numbers inside the parentheses:
\[
10(-7k - 9m) = -70k - 90m
\]
\[
-5(3m + k) = -15m - 5k
\]
2. Now substitute these back into the expression:
\[
-70k - 90m + 4m - 15m - 5k
\]
3. Combine like terms:
- For the \(k\) terms:
\[
-70k - 5k = -75k
\]
- For the \(m\) terms:
\[
-90m + 4m - 15m = -101m
\]
4. Now combine all parts together:
\[
-75k - 101m
\]
So the simplified expression is:
\[
-75k - 101m
\]
1. Distribute the numbers inside the parentheses:
\[
10(-7k - 9m) = -70k - 90m
\]
\[
-5(3m + k) = -15m - 5k
\]
2. Now substitute these back into the expression:
\[
-70k - 90m + 4m - 15m - 5k
\]
3. Combine like terms:
- For the \(k\) terms:
\[
-70k - 5k = -75k
\]
- For the \(m\) terms:
\[
-90m + 4m - 15m = -101m
\]
4. Now combine all parts together:
\[
-75k - 101m
\]
So the simplified expression is:
\[
-75k - 101m
\]