Let's solve the expression:

\[
-10(9v - 4) + 10v
\]

### Step-by-Step Solution:

1. **Distribute** \(-10\) to both terms inside the parentheses:

\[
-10 \cdot 9v = -90v
\]
\[
-10 \cdot (-4) = 40
\]

This simplifies the expression to:

\[
-90v + 40 + 10v
\]

2. **Combine like terms** (\(-90v\) and \(10v\)):

\[
-90v + 10v = -80v
\]

So the expression becomes:

\[
-80v + 40
\]

### Final Answer:
\[
-80v + 40
\]

Would you like more details on this? Here are some related questions:

1. How do you handle distribution with negative numbers in parentheses?
2. Can you give examples where combining like terms involves more variables?
3. How would you solve if the equation was set equal to zero?
4. What happens when you have more than two terms to combine?
5. Can we factor the final expression further?

**Tip:** Always be careful with negative signs when distributing across parentheses!

Learn how to simplify the algebraic expression −10(9v−4) + 10v using the distributive property and combining like terms. This step-by-step guide is designed for students in Grades 6-8.

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