The equation shown in the image is:

$|3 - 6a| = 3$

This is an absolute value equation. To solve it, we'll split it into two cases based on the properties of absolute value:

Case 1:

The expression inside the absolute value is positive or zero: $3 - 6a = 3$ Solve for $a$: $3 - 6a = 3 \implies -6a = 0 \implies a = 0$

Case 2:

The expression inside the absolute value is negative: $3 - 6a = -3$ Solve for $a$: $3 - 6a = -3 \implies -6a = -6 \implies a = 1$

Solution:

The values of $a$ are $a = 0$ and $a = 1$.

Would you like more details or have any questions? Here are five related questions that can help expand on this concept:

1. How do you handle absolute value equations with no solutions?
2. Can you solve an equation with multiple absolute value expressions?
3. What are the key properties of absolute value functions in graphs?
4. How does this type of equation relate to inequalities?
5. How can we check if the solutions to absolute value equations are correct?

Tip: Always test your solutions by plugging them back into the original equation to verify correctness.