Let's solve the expression step by step:

\[
-4(9m - 5) - 9(5m + 4)
\]

### Step 1: Distribute the numbers outside the parentheses.
- Distribute \(-4\) to both terms in the first parenthesis:
\[
-4 \times 9m = -36m \quad \text{and} \quad -4 \times -5 = 20
\]
So, the first part becomes:
\[
-36m + 20
\]

- Now, distribute \(-9\) to both terms in the second parenthesis:
\[
-9 \times 5m = -45m \quad \text{and} \quad -9 \times 4 = -36
\]
So, the second part becomes:
\[
-45m - 36
\]

### Step 2: Combine the results.
Now, the expression becomes:
\[
-36m + 20 - 45m - 36
\]

### Step 3: Combine like terms.
Combine the \(m\)-terms and the constant terms:
\[
-36m - 45m = -81m
\]
\[
20 - 36 = -16
\]

### Final result:
\[
-81m - 16
\]

Would you like any further details or clarifications on the steps?

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Here are 5 related questions you might find useful:
1. How do you solve similar expressions with multiple variables?
2. How do you factor expressions like \(-81m - 16\)?
3. Can you explain how to solve quadratic equations?
4. How do you simplify expressions with exponents?
5. How do you solve inequalities involving linear expressions?

**Tip**: Always distribute carefully, keeping track of negative signs to avoid errors.

Learn how to simplify the linear expression −4(9m−5)−9(5m+4) with a step-by-step solution. This problem involves key algebraic concepts, including the distributive property and combining like terms. Suitable for students in Grades 6-8.

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