1. **State the problem:** Solve the equation $$3(x + 7) - 2 = 4(x - 2)$$ for $x$. 2. **Apply the distributive property:** $$3(x + 7) - 2 = 3x + 21 - 2$$ $$4(x - 2) = 4x - 8$$ So the equation becomes: $$3x + 21 - 2 = 4x - 8$$ 3. **Simplify both sides:** $$3x + 19 = 4x - 8$$ 4. **Isolate variable terms on one side and constants on the other:** Subtract $3x$ from both sides: $$\cancel{3x} + 19 = 4x - 8 - \cancel{3x}$$ $$19 = x - 8$$ 5. **Add 8 to both sides to isolate $x$:** $$19 + 8 = x - 8 + 8$$ $$27 = x$$ 6. **Final answer:** $$x = 27$$ Therefore, the correct option is Option C: $p = 27$.