The equation provided is:

$c = -\frac{a}{b}$

We need to solve for $a$ in terms of $b$ and $c$.

Steps:

1. Start with the given equation: $c = -\frac{a}{b}$

2. Multiply both sides by $b$ to eliminate the denominator: $b \cdot c = -a$

3. Solve for $a$ by multiplying both sides by $-1$: $a = -b \cdot c$

Final Answer:

$a = -b \cdot c$

Would you like further clarification or any additional steps?

Here are 5 related questions to practice:

1. If $c = -\frac{a}{b}$, what happens if $b = 0$?
2. Solve for $b$ in terms of $a$ and $c$.
3. What happens to $a$ if $b$ is negative?
4. What would the solution look like if the equation was $c = \frac{a}{b}$ instead?
5. How can you verify your solution by substituting values of $a$, $b$, and $c$?

Tip: When solving equations, always ensure that you don't divide by zero as it leads to undefined results.