Question: Solve for $z$ and simplify your answer.
Solve for z and simplify your answer.
$-\frac{3}{2}z = 22$
1. **State the problem:** Solve the equation $$-\frac{3}{2}z = 22$$ for $z$ and simplify the answer.
2. **Formula and rules:** To isolate $z$, divide both sides of the equation by the coefficient of $z$, which is $$-\frac{3}{2}$$.
3. **Isolate $z$:**
$$z = \frac{22}{-\frac{3}{2}}$$
4. **Divide by a fraction:** Dividing by a fraction is the same as multiplying by its reciprocal:
$$z = 22 \times -\frac{2}{3}$$
5. **Multiply:**
$$z = -\frac{44}{3}$$
6. **Final answer:**
$$z = -\frac{44}{3}$$
This is the simplified form of $z$.