We are given the equation:

\[
9v = -10 + 10v
\]

To solve for \( v \), follow these steps:

1. **Move all terms involving \( v \) to one side.**  
   Subtract \( 10v \) from both sides:

   \[
   9v - 10v = -10
   \]

   This simplifies to:

   \[
   -v = -10
   \]

2. **Solve for \( v \).**  
   Multiply both sides by \(-1\) to get:

   \[
   v = 10
   \]

So, the solution is \( v = 10 \).

Would you like more details on any part of the solution?

Here are 5 related questions to explore:

1. How would the solution change if the equation were \( 9v = -10 + 9v \)?
2. Can you graph the two expressions and see where they intersect?
3. How would you approach solving \( 9v + 5 = 10v - 7 \)?
4. How do you solve equations with fractions, like \( \frac{9v}{2} = \frac{10v}{3} - 4 \)?
5. What happens if the equation is quadratic, like \( 9v^2 = -10 + 10v \)?

**Tip:** Always aim to isolate the variable on one side of the equation for a simpler solution.

Learn how to solve the linear equation 9v = -10 + 10v with a step-by-step solution. This problem covers essential algebra concepts, such as isolating the variable and using properties of equality, ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation