To solve the equation:

$\frac{11c + 4}{9} = 6$

Follow these steps:

Step 1: Eliminate the fraction

Multiply both sides of the equation by 9 to get rid of the denominator.

$11c + 4 = 6 \times 9$

$11c + 4 = 54$

Step 2: Subtract 4 from both sides

$11c = 54 - 4$

$11c = 50$

Step 3: Solve for $c$

Now, divide both sides by 11:

$c = \frac{50}{11}$

This is already in its simplest form, and cannot be simplified further. Therefore, the solution is:

$c = \frac{50}{11}$

This can also be written as a mixed number:

$c = 4 \frac{6}{11}$

Would you like more details or further clarifications?

Related questions:

1. What are the steps to convert an improper fraction into a mixed number?
2. How do you check if a fraction is in its simplest form?
3. Can you explain why multiplying both sides of an equation helps eliminate fractions?
4. How would the steps change if the equation were $\frac{11c - 4}{9} = 6$?
5. What are other methods to solve fractional equations?

Tip: When solving equations, always aim to isolate the variable step by step to keep things clear!