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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.

Given: f(x) = -3x, g(x) = -6x + 7, What is g(-8)?

Learn how to solve for g(-8) using the linear function g(x) = -6x + 7. This problem involves basic algebra and substitution, making it suitable for students in Grades 6-8.

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