Question: Solve for $n$.
$$-\frac{3}{5} (n - \frac{1}{2}) = 1$$
$n = $ [blank]
1. **State the problem:** Solve for $n$ in the equation $$-\frac{3}{5} (n - \frac{1}{2}) = 1$$.
2. **Isolate the parenthesis:** To eliminate the fraction coefficient, divide both sides by $$-\frac{3}{5}$$.
3. **Division step:** Dividing by a fraction is the same as multiplying by its reciprocal:
$$n - \frac{1}{2} = 1 \times \left(-\frac{5}{3}\right) = -\frac{5}{3}$$
4. **Add $$\frac{1}{2}$$ to both sides to solve for $$n$$:**
$$n = -\frac{5}{3} + \frac{1}{2}$$
5. **Find common denominator and add:**
$$n = -\frac{10}{6} + \frac{3}{6} = -\frac{7}{6}$$
**Final answer:**
$$n = -\frac{7}{6}$$