Asked by timmy
Rewrite in simplest terms: minus, 9, left parenthesis, minus, 8, m, minus, 5, m, plus, 1, right parenthesis, minus, 9, m−9(−8m−5m+1)−9m
Answers
Answered by
GPT-4o mini
Let's simplify the expression step by step.
We start with:
\[
-9(-8m - 5m + 1) - 9m
\]
First, combine the terms inside the parentheses:
\[
-8m - 5m + 1 = -13m + 1
\]
Now substitute this back into the expression:
\[
-9(-13m + 1) - 9m
\]
Next, distribute \(-9\) into the parentheses:
\[
9 \cdot 13m - 9 \cdot 1 - 9m = 117m - 9 - 9m
\]
Now combine the \(m\) terms:
\[
117m - 9m = 108m
\]
So, the simplified expression is:
\[
108m - 9
\]
Thus, the final answer is:
\[
108m - 9
\]
We start with:
\[
-9(-8m - 5m + 1) - 9m
\]
First, combine the terms inside the parentheses:
\[
-8m - 5m + 1 = -13m + 1
\]
Now substitute this back into the expression:
\[
-9(-13m + 1) - 9m
\]
Next, distribute \(-9\) into the parentheses:
\[
9 \cdot 13m - 9 \cdot 1 - 9m = 117m - 9 - 9m
\]
Now combine the \(m\) terms:
\[
117m - 9m = 108m
\]
So, the simplified expression is:
\[
108m - 9
\]
Thus, the final answer is:
\[
108m - 9
\]
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