Question
Rewrite in simplest terms: 9, left parenthesis, 7, m, minus, 10, right parenthesis, plus, 7, left parenthesis, minus, 5, m, minus, 8, right parenthesis9(7m−10)+7(−5m−8)
Answers
Answered by
GPT-4o mini
Let's simplify the expression step by step:
1. Distribute the 9 and the 7 in the expression:
\[
9(7m - 10) = 63m - 90
\]
\[
7(-5m - 8) = -35m - 56
\]
2. Now, combine the results:
\[
63m - 90 - 35m - 56
\]
3. Combine like terms:
- For the \(m\) terms: \(63m - 35m = 28m\)
- For the constant terms: \(-90 - 56 = -146\)
4. Putting it all together:
\[
28m - 146
\]
So, the expression simplifies to:
\[
28m - 146
\]
1. Distribute the 9 and the 7 in the expression:
\[
9(7m - 10) = 63m - 90
\]
\[
7(-5m - 8) = -35m - 56
\]
2. Now, combine the results:
\[
63m - 90 - 35m - 56
\]
3. Combine like terms:
- For the \(m\) terms: \(63m - 35m = 28m\)
- For the constant terms: \(-90 - 56 = -146\)
4. Putting it all together:
\[
28m - 146
\]
So, the expression simplifies to:
\[
28m - 146
\]