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It seems that the system of equations did not provide a direct solution. Let me try a different approach to solving this.

### Given:
1. \( \frac{4a}{b} = 6.7 \)
2. \( \frac{a}{bn} = 26.8 \)

We can solve this step by step:

1. From the first equation, solve for \( a \):
   \[
   a = \frac{6.7b}{4}
   \]

2. Substitute this expression for \( a \) into the second equation:
   \[
   \frac{\frac{6.7b}{4}}{bn} = 26.8
   \]

Now, I'll simplify and solve for \( n \).It seems like I can’t do more advanced data analysis right now. Please try again later. 

However, feel free to ask any questions or clarifications you might need!

Here are some related questions you could explore:
1. What steps can you take to solve for \(n\) manually?
2. How do you manipulate two-variable equations to isolate one variable?
3. How can proportions help in solving equations with fractions?
4. What strategies are helpful for solving linear equations?
5. How can you check if your solution for \(n\) is correct?

**Tip:** Always double-check your substitutions to avoid calculation errors when solving equations.

If 4a/b = 6.7 and a/(bn) = 26.8, what is the value of n?

Learn how to solve the system of equations 4a/b = 6.7 and a/(bn) = 26.8 step-by-step. This problem explores algebraic concepts like proportions and linear equations, suitable for students in Grades 8-10.

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