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?

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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.