To solve for \( q \) in the equation:

\[
\frac{a + b}{q} - k = c
\]

### Step-by-Step Solution:

1. **Isolate the fraction involving \( q \):**
   \[
   \frac{a + b}{q} = c + k
   \]

2. **Eliminate the fraction by multiplying both sides by \( q \):**
   \[
   a + b = q(c + k)
   \]

3. **Solve for \( q \) by dividing both sides by \( c + k \):**
   \[
   q = \frac{a + b}{c + k}
   \]

### Final Answer:
\[
q = \frac{a + b}{c + k}
\]

Would you like a deeper explanation or have any questions?

---

1. How would you solve if the equation was \(\frac{a + b}{q} + k = c\)?
2. What happens if \(c + k = 0\) in this context?
3. How do you isolate a variable in an equation with multiple variables?
4. Can this method apply if the equation involved square roots or exponents?
5. What if we had a different variable to solve for, like \( k \) or \( c \)?

**Tip:** Always double-check for terms that might cause division by zero, like \(c + k\) in the denominator here.

Learn how to solve for q in the equation (a + b)/q - k = c with a clear, step-by-step solution. This problem focuses on algebraic manipulation, isolating variables, and understanding fractional equations. Suitable for students in Grades 8-10.

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