1. **State the problem:** Simplify the expression $3[2k -(-2+k)]$. 2. **Recall the rule:** When you have a minus sign before parentheses, it changes the signs of the terms inside. So, $-(a+b) = -a - b$. 3. **Apply the rule inside the brackets:** $$2k -(-2 + k) = 2k + 2 - k$$ 4. **Simplify inside the brackets:** $$2k + 2 - k = (2k - k) + 2 = k + 2$$ 5. **Multiply the result by 3:** $$3[k + 2] = 3k + 6$$ **Final answer:** $3k + 6$