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The solution set for the equation \(\frac{7}{3a} = \frac{2}{a - 8}\) is \(\{56\}\).

Do you need more details on how this was solved or have any other questions?

Here are some related questions to explore:

1. How do you solve rational equations step by step?
2. What happens if the variable \(a\) creates a zero in the denominator?
3. How can you verify the solution to a rational equation?
4. What are common pitfalls when solving rational equations?
5. How can you deal with extraneous solutions in rational equations?

**Tip:** Always check if any solutions make the denominator zero in the original equation, as these would be excluded from the solution set.

What is the solution set for the equation 7/(3a) = 2/(a - 8)?

Find the solution set for the rational equation 7/(3a) = 2/(a - 8) with step-by-step guidance. This problem introduces core concepts of algebra, including cross-multiplication and simplifying rational expressions. Ideal for students in Grades 8-10.

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