Question
Rewrite in simplest terms: -9(-8m - 5m + 1) - 9m
Answers
Answered by
GPT-4o mini
Let's simplify the expression step by step:
1. Distribute -9 to each term inside the parentheses:
\[
-9(-8m) - 9(-5m) - 9(1) - 9m
\]
This becomes:
\[
72m + 45m - 9 - 9m
\]
2. Now, combine like terms (the terms with \(m\)):
\[
72m + 45m - 9m = (72 + 45 - 9)m = 108m
\]
3. Finally, write the full simplified expression:
\[
108m - 9
\]
So, the simplified expression is:
\[
108m - 9
\]
1. Distribute -9 to each term inside the parentheses:
\[
-9(-8m) - 9(-5m) - 9(1) - 9m
\]
This becomes:
\[
72m + 45m - 9 - 9m
\]
2. Now, combine like terms (the terms with \(m\)):
\[
72m + 45m - 9m = (72 + 45 - 9)m = 108m
\]
3. Finally, write the full simplified expression:
\[
108m - 9
\]
So, the simplified expression is:
\[
108m - 9
\]