https://file.aiquickdraw.com/mathbot/file/1726347447759ju3srj9i.png

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.

Solve for a in terms of b and c. Given c = -a/b.

Learn how to solve for a in terms of b and c when given the equation c = -a/b. The solution involves basic algebraic manipulation by rearranging the equation. Suitable for students in Grades 8-10.

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