https://file.aiquickdraw.com/mathbot/file/17291410718905ghg728f.jpg

The equation provided in the image is:

\[
-2n + 3 = 9
\]

Let's solve this step by step:

### Step 1: Isolate the term with the variable \( n \).
Subtract 3 from both sides:

\[
-2n + 3 - 3 = 9 - 3
\]

This simplifies to:

\[
-2n = 6
\]

### Step 2: Solve for \( n \).
Now, divide both sides by \(-2\) to get \( n \):

\[
n = \frac{6}{-2} = -3
\]

### Solution:
\[
n = -3
\]

Would you like more details, or do you have any questions?

Here are some related questions:
1. What happens if we change the constant on the right-hand side?
2. How do we solve a similar equation but with a positive coefficient for \(n\)?
3. What is the geometric interpretation of this equation?
4. How do we check if our solution is correct?
5. Can this equation be solved graphically?

**Tip:** Always double-check your work by substituting the solution back into the original equation!

Learn how to solve the linear equation -2n + 3 = 9 with a step-by-step breakdown. This algebra problem helps in understanding how to isolate the variable and solve for n. Suitable for students in Grades 6-8.

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