`19-[4+{16-(12-2)}]`

Answer

To solve the expression \( 19 - [4 + \{16 - (12 - 2)\}] \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the innermost bracket**: Start with the round bracket \( (12 - 2) \).
\[ 12 - 2 = 10 \]

2. **Substitute back into the expression**: Replace \( (12 - 2) \) with \( 10 \).
\[ 19 - [4 + \{16 - 10\}] \]

3. **Now solve the curly bracket**: Next, we solve \( \{16 - 10\} \).
\[ 16 - 10 = 6 \]

4. **Substitute back into the expression**: Replace \( \{16 - 10\} \) with \( 6 \).
\[ 19 - [4 + 6] \]

5. **Now solve the square bracket**: Calculate \( [4 + 6] \).
\[ 4 + 6 = 10 \]

6. **Substitute back into the expression**: Replace \( [4 + 6] \) with \( 10 \).
\[ 19 - 10 \]

7. **Finally, perform the subtraction**: Calculate \( 19 - 10 \).
\[ 19 - 10 = 9 \]

### Final Answer:
\[ \text{The final answer is } 9. \]