To solve the equation 

\[
\frac{c - 8}{-1} = -2,
\]

we first simplify the left-hand side. Dividing by \(-1\) is equivalent to multiplying by \(-1\), so we have:

\[
-(c - 8) = -2.
\]

Simplifying further by multiplying both sides by \(-1\):

\[
c - 8 = 2.
\]

Next, add \(8\) to both sides to solve for \(c\):

\[
c = 2 + 8,
\]

\[
c = 10.
\]

Thus, the solution is:

\[
\boxed{c = 10}.
\]

Would you like more details or have any questions?

Here are some related questions to consider:

1. How would you solve the equation if the denominator was a positive number?
2. What is the result of solving a similar equation: \(\frac{c + 5}{-2} = 3\)?
3. How can you check if your solution to an equation is correct?
4. What are the general steps to solve a one-variable linear equation?
5. How would the approach change if the equation was \((c - 8)^2 = 4\)?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the equation (c - 8) / (-1) = -2 step-by-step with detailed explanations. This problem covers key concepts in solving linear equations and simplification techniques. Suitable for students in Grades 7-9.

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