The equation is:

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

We want to solve for \( a \). Here's how to solve it:

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 2 to get rid of the fraction:

\[
2 \times (-22) = 2 \times \frac{3}{2}a
\]

This simplifies to:

\[
-44 = 3a
\]

### Step 2: Solve for \( a \)
Now, divide both sides by 3:

\[
a = \frac{-44}{3}
\]

So the value of \( a \) is:

\[
a = -\frac{44}{3} \quad \text{or} \quad a \approx -14.67
\]

Would you like further clarification on any of these steps?

Here are 5 related questions:
1. How would you solve an equation like \( \frac{5}{4}x = 15 \)?
2. What happens if the equation contains more variables?
3. How do you solve a system of equations with fractions?
4. How can you simplify complex fractions in equations?
5. What is the difference between solving equations with fractions and decimals?

**Tip:** When dealing with fractions in an equation, it's often easier to eliminate the fraction first by multiplying through by the denominator.

Learn how to solve the linear equation -22 = 3/2a with step-by-step guidance. This problem involves algebraic concepts such as solving for a variable and working with fractions. Suitable for students in Grades 7-8.

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