Let's solve the expression step by step:

\[
(-2) \times (5 - 7) - \left[ 2 + 3 \times (-4) \right]
\]

### Step 1: Simplify inside the parentheses and brackets.

- \( 5 - 7 = -2 \)
- \( 3 \times (-4) = -12 \)

Now, the expression becomes:

\[
(-2) \times (-2) - \left[ 2 + (-12) \right]
\]

### Step 2: Perform the multiplications.

- \( (-2) \times (-2) = 4 \)
- Inside the brackets: \( 2 + (-12) = -10 \)

Now the expression becomes:

\[
4 - (-10)
\]

### Step 3: Simplify the subtraction.

- \( 4 - (-10) = 4 + 10 = 14 \)

### Final Answer:
\[
14
\]

Would you like more details on any step, or do you have any questions?

Here are 5 related questions for practice:
1. Simplify \( 3 \times (4 - 6) - [1 + 2 \times (-5)] \).
2. Calculate \( (-3) \times (7 - 9) + [4 + 6 \times (-2)] \).
3. Solve \( 2 \times (5 - 8) - [7 - 3 \times (-4)] \).
4. Simplify \( (-5) \times (6 - 10) - [9 + 2 \times (-3)] \).
5. Evaluate \( 3 \times (10 - 15) + [5 - 4 \times (-1)] \).

**Tip:** Always start by simplifying inside parentheses and brackets first!

Learn how to simplify the expression (-2)*(5-7)-[2+3*(-4)] with a detailed step-by-step solution. This problem covers key algebraic concepts, such as the order of operations and arithmetic with negative numbers, suitable for students in Grades 6-8.

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