Let's simplify the expression:

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

### Step-by-step simplification:

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

2. **Distribute \(-9\) to both terms inside the parentheses**:
   \[
   -9 \times -13m = 117m
   \]
   \[
   -9 \times 1 = -9
   \]
   This simplifies the expression to:
   \[
   117m - 9 - 9m
   \]

3. **Combine like terms**:
   \[
   117m - 9m = 108m
   \]
   So the final simplified expression is:
   \[
   108m - 9
   \]

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

Would you like further details or have any questions?

Here are five related questions for practice:
1. Simplify: \(-7(2m - 4) - 5m\)
2. Expand and simplify: \(3(4m + 1) - 2(m - 3)\)
3. Factor: \(108m - 9\)
4. Simplify: \(-6(-5m + 2m - 1) - 4m\)
5. Solve for \(m\): \(108m - 9 = 0\)

**Tip**: Always simplify terms inside parentheses before applying distribution!

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

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