https://file.aiquickdraw.com/mathbot/file/1725666821716hjxt94hg.jpg

The equation shown in the image is:

\[
-\frac{6}{7}a = 18
\]

To solve for \(a\), follow these steps:

### Step 1: Multiply both sides of the equation by \(-\frac{7}{6}\)
To eliminate the fraction \(-\frac{6}{7}\), multiply both sides of the equation by its reciprocal, \(-\frac{7}{6}\):

\[
a = 18 \times -\frac{7}{6}
\]

### Step 2: Simplify the right-hand side
Now, multiply:

\[
a = 18 \times -\frac{7}{6} = -21
\]

### Final Answer:
\[
a = -21
\]

Let me know if you'd like more details or explanations!

Here are 5 related questions you might find interesting:
1. How do you solve an equation when both sides have fractions?
2. What happens if there are multiple variables in such an equation?
3. Can you demonstrate how to solve an equation with decimals instead of fractions?
4. What are some real-world applications of solving linear equations like this?
5. How can you check if your solution to an equation is correct?

**Tip:** When working with equations that have fractions, always consider multiplying by the reciprocal to simplify your calculations.

Learn how to solve the linear equation -6/7a = 18 by multiplying both sides by the reciprocal of -6/7. This problem demonstrates key algebraic concepts and is suitable for students in Grades 7-9.

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