The equation you've provided is:

\[
a = 3n - 2
\]

To solve for \( n \), we want to isolate \( n \) on one side of the equation. Let's proceed step by step:

1. Start with the given equation:

   \[
   a = 3n - 2
   \]

2. Add 2 to both sides to move the constant term to the left side:

   \[
   a + 2 = 3n
   \]

3. Divide both sides by 3 to isolate \( n \):

   \[
   n = \frac{a + 2}{3}
   \]

So, the solution for \( n \) in terms of \( a \) is:

\[
n = \frac{a + 2}{3}
\]

Would you like further details on this, or do you have any other questions?

Here are 5 related questions you might find useful:

1. What happens if \( a = 7 \)? What is the value of \( n \)?
2. How would the equation change if the constant term was different, say \( a = 3n - 5 \)?
3. Can you solve for \( n \) if \( a \) is a specific value, such as \( a = 10 \)?
4. How would the solution change if the equation was \( a = 4n - 2 \)?
5. What would happen if you instead had the equation \( 2a = 3n - 2 \)?

**Tip:** Always check your final answer by plugging it back into the original equation to ensure it satisfies the equation.

Learn how to solve the equation a = 3n - 2 for n with a detailed step-by-step solution. This problem covers linear equations and solving techniques. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation