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Let's complete the process of solving the given equation step-by-step.

1. **Original Equation:**
   \[
   11(3v + 1) = 9v + 11
   \]

2. **Step 1 - Apply the Distributive Property:**
   \[
   33v + 11 = 9v + 11
   \]

   - **Missing Term**: `33v + 11`
   - **Description**: "Apply the distributive property"

3. **Step 2 - Isolate Variable Term:**
   Subtract \( 9v \) from both sides:
   \[
   33v - 9v + 11 = 11
   \]
   \[
   24v + 11 = 11
   \]

   - **Missing Term**: `24v + 11`
   - **Description**: "Combine like terms"

4. **Step 3 - Simplify Constant Terms:**
   Subtract 11 from both sides:
   \[
   24v = 0
   \]

   - **Missing Term**: `24v`
   - **Description**: "Subtract 11 from both sides"

5. **Step 4 - Solve for \( v \):**
   Divide both sides by 24:
   \[
   v = 0
   \]

   - **Missing Term**: `0`
   - **Description**: "Simplify the fraction (if applicable)"

The solution to the equation is \( v = 0 \).

Would you like any further details or have questions about the steps? Here are some related questions to consider:

1. How is the distributive property applied in this equation?
2. Why is it necessary to combine like terms?
3. What does it mean to isolate the variable?
4. Can you explain why dividing by 24 gives the final value of \( v \)?
5. How would the solution change if there was a different constant on the right-hand side?

**Tip:** Always ensure all like terms are combined on each side before solving for the variable.

Complete the process of solving the equation: 11(3v + 1) = 9v + 11

Learn how to solve the linear equation 11(3v + 1) = 9v + 11. This problem demonstrates how to apply the distributive property and combine like terms to isolate the variable. Suitable for students in Grades 7-9.

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