It seems you have uploaded an image of a math problem that involves simplifying an expression given specific values for variables. Let's go through the solution.

The problem is to simplify the expression $a(b - 2)$ given that $a = 3$, $b = 2$, and $c = 4$.

1. Start with the expression: $a(b - 2)$

2. Substitute the values of $a$ and $b$ into the expression: $3(2 - 2)$

3. Simplify the expression inside the parentheses: $3(0)$

4. Multiply: $3 \times 0 = 0$

However, the solution shown in the image incorrectly has $3(-4) = -12$, which suggests there may have been a mistake in interpreting the values of the variables or the expression. The correct result for $a(b - 2)$ with $a = 3$ and $b = 2$ is actually 0.

Would you like further details or have any questions?

Here are 5 related questions to further expand your understanding:

1. What is the value of the expression $a(c - 2)$ if $a = 3$ and $c = 4$?
2. How would the expression change if $a = 3$ and $b = -2$?
3. What is the result of $2a(b + 1)$ given $a = 3$ and $b = 2$?
4. How can you check your work when simplifying expressions like these?
5. What happens if $b = 3$ in the original expression $a(b - 2)$?

Tip: Always double-check the substitution of values to ensure accuracy in your calculations.