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The equation provided is:

\[
-\frac{2}{3}v = -22
\]

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

### Step 1: Eliminate the fraction by multiplying both sides by the reciprocal of \(-\frac{2}{3}\), which is \(-\frac{3}{2}\).

\[
v = (-22) \times \left(-\frac{3}{2}\right)
\]

### Step 2: Simplify the multiplication:

\[
v = 33
\]

Thus, the solution is \( v = 33 \).

Would you like more details on the process? Here are some related questions to explore:

1. What are the properties of multiplying by fractions?
2. How do we solve linear equations with negative coefficients?
3. Can this method be applied to more complex equations?
4. What are the next steps if the equation had more variables?
5. How does this solution relate to systems of equations?

**Tip:** Always check your final answer by substituting it back into the original equation!

Learn how to solve the linear equation -2/3v = -22 by multiplying both sides by the reciprocal of the fraction. This step-by-step solution is suitable for students in Grades 7-8, covering key algebra concepts such as solving linear equations and handling fractions.

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