We are given the equation:

\[
-13 - 9.2q = -17
\]

### Steps to solve for \( q \):

1. **Isolate the term with \( q \):**

   Add 13 to both sides of the equation to move the constant term:

   \[
   -9.2q = -17 + 13
   \]

   Simplifying the right side:

   \[
   -9.2q = -4
   \]

2. **Solve for \( q \):**

   Now divide both sides of the equation by \(-9.2\):

   \[
   q = \frac{-4}{-9.2}
   \]

   Simplifying the fraction:

   \[
   q = 0.4348 \quad (\text{rounded to 4 decimal places})
   \]

Thus, the solution is \( q \approx 0.4348 \).

Would you like any additional details or clarifications?

Here are 5 related questions for practice:
1. Solve: \( 5.4q + 8 = 3.6 \)
2. Solve: \( -7q - 15 = -22 \)
3. Solve: \( 4q + 12.7 = -1.3 \)
4. Solve: \( -11.3q - 5 = -12.3 \)
5. Solve: \( -9q - 14.2 = 3.8 \)

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

Learn how to solve the linear equation -13 - 9.2q = -17 step-by-step. This example covers key algebraic concepts, including isolating variables and using the equality property of equations. Suitable for students in Grades 7-8.

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