https://file.aiquickdraw.com/mathbot/file/1729107866996hvv59hez.jpg

The equation shown in the image is:

\[
\frac{n}{2} = \frac{n + 9}{5}
\]

Let's solve for \( n \).

### Step 1: Cross-multiply to eliminate the denominators.
\[
5n = 2(n + 9)
\]

### Step 2: Distribute the 2 on the right-hand side.
\[
5n = 2n + 18
\]

### Step 3: Move all terms involving \( n \) to one side of the equation.
\[
5n - 2n = 18
\]

\[
3n = 18
\]

### Step 4: Solve for \( n \).
\[
n = \frac{18}{3} = 6
\]

So, the solution is \( n = 6 \).

Would you like further details on any step or another problem related to this? 

Here are 5 related questions you might find helpful:
1. How do you solve equations with variables on both sides?
2. What is cross-multiplication, and why does it work in solving proportions?
3. How do you check if your solution to an equation is correct?
4. Can we solve more complex equations with fractions in a similar way?
5. What happens if both sides of an equation have different expressions involving variables?

**Tip:** Always simplify your equation by moving all variable terms to one side and constants to the other for easier solving.

Learn how to solve the algebraic equation n/2 = (n + 9)/5 using cross-multiplication and simplifying techniques. Suitable for students in Grades 7-9, this step-by-step guide covers core concepts like moving terms and simplifying linear equations.

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