To solve the expression \( f(6)\frac{5}{3}(6) - 12 \), we need to make a few assumptions for clarity.

If the term \( f(6) \) represents a function \( f(x) \), we'll need to know the definition of \( f(x) \). However, since it's not provided, we'll assume for now that \( f(6) \) is just a number. 

Thus, let's rewrite the expression as:

\[
f(6)\frac{5}{3}(6) - 12
\]

Simplifying the terms we can handle:

\[
f(6) \times \frac{5}{3} \times 6 - 12
\]

Now, multiply \( \frac{5}{3} \times 6 \):

\[
\frac{5}{3} \times 6 = 10
\]

So the expression becomes:

\[
f(6) \times 10 - 12
\]

At this point, we would need to know the value of \( f(6) \) to continue further.

### Next steps:
1. Could you clarify what the function \( f(x) \) is or provide the value of \( f(6) \)?
   
Alternatively, if you have a specific definition for \( f(x) \), let me know and I can solve it from there.

### Related Questions:
1. What does the function \( f(x) \) represent in this case?
2. How does changing \( f(x) \) affect the overall result?
3. Can you provide a graph or description of \( f(x) \)?
4. What happens if \( f(6) \) is set to a specific number like 2 or 5?
5. How would this problem change with a different number substituted in place of 6?

**Tip**: Always specify the function definition when dealing with function notation like \( f(x) \) to avoid ambiguity.

This guide walks you through simplifying the algebraic expression f(6) * (5/3) * 6 - 12. Learn how to handle function notation, multiply fractions, and simplify terms step by step. Suitable for students in Grades 9-11.

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