1. **State the problem:** Simplify the expression $$\frac{3}{4} - \frac{2}{3}(-6x + 2)$$. 2. **Recall the distributive property:** When you have a term multiplied by a sum or difference inside parentheses, distribute the multiplication to each term inside. 3. **Distribute $$-\frac{2}{3}$$ to $$-6x$$ and $$2$$:** $$-\frac{2}{3} \times (-6x) = \frac{12x}{3} = 4x$$ $$-\frac{2}{3} \times 2 = -\frac{4}{3}$$ 4. **Rewrite the expression:** $$\frac{3}{4} + 4x - \frac{4}{3}$$ 5. **Combine the constant terms $$\frac{3}{4}$$ and $$-\frac{4}{3}$$:** Find common denominator 12: $$\frac{3}{4} = \frac{9}{12}, \quad -\frac{4}{3} = -\frac{16}{12}$$ 6. **Add the constants:** $$\frac{9}{12} - \frac{16}{12} = -\frac{7}{12}$$ 7. **Final simplified expression:** $$4x - \frac{7}{12}$$ This is the simplified form of the original expression.