To solve the equation:

\[
-13 = -7S
\]

### Step-by-step Solution:

1. **Isolate \(S\):**
   Divide both sides of the equation by \(-7\) to solve for \(S\):

   \[
   S = \frac{-13}{-7}
   \]

2. **Simplify the fraction:**
   The negatives cancel each other out:

   \[
   S = \frac{13}{7}
   \]

Thus, the solution is:

\[
S = \frac{13}{7}
\]

Would you like further details or have any questions?

### Related Questions:
1. What happens when dividing by negative numbers?
2. How do you convert improper fractions to mixed numbers?
3. Can equations with fractions be solved differently?
4. What are some common mistakes in isolating variables?
5. How do you solve equations with multiple variables?

### Tip:
Always check your work by substituting the solution back into the original equation.

Learn how to solve the linear equation -13 = -7S with a detailed step-by-step solution. This problem demonstrates algebraic concepts, including isolating the variable and simplifying negative fractions. Suitable for students in Grades 6-8.

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