The question asks for $g(-8)$ based on the function $g(x) = -6x + 7$.

To solve for $g(-8)$:

$g(x) = -6x + 7$

Substitute $x = -8$ into the equation:

$g(-8) = -6(-8) + 7$

First, multiply $-6 \times -8$:

$g(-8) = 48 + 7$

Now add:

$g(-8) = 55$

Thus, $g(-8) = 55$.

Would you like a more detailed explanation?

Here are 5 follow-up questions related to this concept:

1. What is the difference between $f(x)$ and $g(x)$ in this problem?
2. How do you evaluate $f(-5)$ for the given $f(x) = -3x$?
3. Can you find the inverse of the function $g(x) = -6x + 7$?
4. How would the equation change if the slope in $g(x)$ were positive instead of negative?
5. What is the general process for finding the value of a function at a specific input?

Tip: Always check your calculations step-by-step to avoid small mistakes in substitution or arithmetic.