To find the value of $f(-12)$, you substitute $-12$ for $x$ in the function $f(x) = 4(8 - x)$.

$f(-12) = 4(8 - (-12))$

Simplify inside the parentheses:

$f(-12) = 4(8 + 12)$

$f(-12) = 4(20)$

Now, multiply:

$f(-12) = 80$

So, the value of $f(-12)$ is $80$.

Would you like details on the steps? Here are 5 related questions to explore:

1. What is the general process for evaluating a function at a given value?
2. How do you interpret the function $f(x) = 4(8 - x)$ graphically?
3. What is the effect of a negative input on a linear function like $f(x) = 4(8 - x)$?
4. How do you solve for the input $x$ if given a specific output $f(x) = y$?
5. What happens to the function $f(x) = 4(8 - x)$ if the coefficient 4 changes?

Tip: Always perform operations inside parentheses first when substituting values into a function.