Question: Solve for a.
$$\frac{3}{7}(a - 6) = -2$$
a = [ ]
1. **State the problem:** Solve the two-step equation $$\frac{3}{7}(a - 6) = -2$$ for $$a$$.
2. **Understand the formula and rules:** To solve for $$a$$, first eliminate the fraction by multiplying both sides by the denominator's reciprocal, then isolate $$a$$ by undoing subtraction.
3. **Multiply both sides by 7 to clear the denominator:**
$$7 \times \frac{3}{7}(a - 6) = 7 \times (-2)$$
4. **Simplify the left side by canceling 7:**
$$\cancel{7} \times \frac{3}{\cancel{7}}(a - 6) = -14$$
which simplifies to
$$3(a - 6) = -14$$
5. **Divide both sides by 3 to isolate the parentheses:**
$$\frac{3(a - 6)}{3} = \frac{-14}{3}$$
6. **Simplify by canceling 3:**
$$\cancel{3}(a - 6)/\cancel{3} = -\frac{14}{3}$$
which simplifies to
$$a - 6 = -\frac{14}{3}$$
7. **Add 6 to both sides to solve for $$a$$:**
$$a - 6 + 6 = -\frac{14}{3} + 6$$
8. **Convert 6 to a fraction with denominator 3:**
$$6 = \frac{18}{3}$$
9. **Add the fractions:**
$$a = -\frac{14}{3} + \frac{18}{3} = \frac{-14 + 18}{3} = \frac{4}{3}$$
**Final answer:**
$$a = \frac{4}{3}$$