1. **State the problem:** Simplify the expression $$-3z - (-z - 2)$$ to find an equivalent expression. 2. **Recall the rule:** Subtracting a quantity in parentheses means changing the signs of each term inside the parentheses. 3. **Apply the rule:** $$-3z - (-z - 2) = -3z + z + 2$$ 4. **Combine like terms:** $$-3z + z = (-3 + 1)z = -2z$$ 5. **Write the simplified expression:** $$-2z + 2$$ 6. **Conclusion:** The equivalent expression is $$-2z + 2$$, which corresponds to option C.