https://file.aiquickdraw.com/mathbot/file/1733624579453p8o0s92k.jpg

Let’s solve the given problem step by step.

The equation shown is:

**-2(3 - 7) - 4**

### Step 1: Simplify inside the parentheses
Inside the parentheses, we calculate **3 - 7**:
\[
3 - 7 = -4
\]

The equation now becomes:
\[
-2(-4) - 4
\]

### Step 2: Perform multiplication
Next, multiply **-2** and **-4**:
\[
-2 \times -4 = 8
\]

The equation now becomes:
\[
8 - 4
\]

### Step 3: Subtract
Finally, subtract **4** from **8**:
\[
8 - 4 = 4
\]

### Final Answer:
\[
\boxed{4}
\]

Would you like additional clarification on any of the steps?  

Here are five related questions to deepen your understanding:
1. What are the rules for handling parentheses in the order of operations?
2. How does multiplying two negative numbers result in a positive number?
3. What is the difference between subtraction and adding a negative number?
4. How would this problem change if the parentheses contained \(3 + 7\) instead?
5. Why is it important to follow the order of operations?

**Tip:** Always simplify inside parentheses first before moving to multiplication, division, addition, or subtraction!

Simplify using the order of operations: -2(3 - 7) - 4

Learn to simplify -2(3 - 7) - 4 step-by-step following the order of operations (PEMDAS). This problem demonstrates simplifying parentheses, handling negative numbers, and performing subtraction. Ideal for middle school students (Grades 6-8).

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation