1. **State the problem:** Simplify the expression $64-(9-16)$. 2. **Recall the order of operations:** Parentheses first, then subtraction. 3. **Evaluate inside the parentheses:** Calculate $9-16$. $$9-16 = \cancel{9}-16 = -7$$ 4. **Substitute back:** The expression becomes $64 - (-7)$. 5. **Subtracting a negative is addition:** $64 - (-7) = 64 + 7$. 6. **Calculate the sum:** $$64 + 7 = 71$$ 7. **Final answer:** $71$