https://file.aiquickdraw.com/mathbot/file/1726507666573ok81l1v2.jpg

The equation in the image is:

\[
\frac{n}{3} - 5 = 12
\]

### Steps to solve for \( n \):

1. **Isolate the fraction term**:
   Add 5 to both sides to eliminate the constant on the left side:
   \[
   \frac{n}{3} = 12 + 5
   \]
   \[
   \frac{n}{3} = 17
   \]

2. **Eliminate the denominator**:
   Multiply both sides by 3 to solve for \( n \):
   \[
   n = 17 \times 3
   \]
   \[
   n = 51
   \]

Thus, the value of \( n \) is **51**.

Would you like more details on any step?

### Relative questions:
1. How would the process change if the equation was \( \frac{n}{4} - 6 = 10 \)?
2. Can you explain why we added 5 to both sides first?
3. What happens if we multiply both sides by a different number, like 4?
4. How do you check if the solution \( n = 51 \) is correct?
5. What if the equation had fractions on both sides, such as \( \frac{n}{3} - 5 = \frac{n}{4} \)?

**Tip:** Always perform the same operation on both sides of an equation to maintain balance.

What is the value of n? \frac{n}{3} - 5 = 12

Learn how to solve the linear equation \frac{n}{3} - 5 = 12 with step-by-step guidance. This problem involves basic algebra concepts such as isolating variables and solving linear equations, suitable for students in Grades 6-8.

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