Let's solve the expression step by step:

Expression:  
\[
-9(-8m - 5m + 1) - 9m
\]

### Step 1: Simplify inside the parentheses  
Combine like terms inside the parentheses:  
\[
-8m - 5m = -13m
\]
So, the expression becomes:  
\[
-9(-13m + 1) - 9m
\]

### Step 2: Distribute \(-9\)  
Now, distribute \(-9\) to both terms inside the parentheses:  
\[
-9(-13m) = 117m
\]  
\[
-9(1) = -9
\]
So, the expression becomes:  
\[
117m - 9 - 9m
\]

### Step 3: Combine like terms  
Now, combine the like terms \(117m\) and \(-9m\):  
\[
117m - 9m = 108m
\]
So, the final simplified expression is:  
\[
108m - 9
\]

### Final Answer:  
\[
108m - 9
\]

Do you need further details or have any questions?

Here are 5 related questions you might want to explore:
1. How can we apply the distributive property to more complex expressions?
2. What are common mistakes to avoid when combining like terms?
3. How does factoring relate to this problem?
4. Can we solve the expression if it were set as an equation \(108m - 9 = 0\)?
5. What happens if there are more variables in the equation?

**Tip:** Always combine like terms inside parentheses before distributing!

Learn how to simplify the algebraic expression -9(-8m - 5m + 1) - 9m with a step-by-step breakdown. This solution covers key algebra concepts such as using the distributive property and combining like terms. Suitable for students in Grades 6-8.

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