Question

Examine the work shown. Explain the error and find the correct result.

2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54

Answer 1

Let's examine the steps shown in the work and identify the error.

1. **Initial Expression:**
\[
2(4 - 16) - (-30)
\]

2. **First Step Calculation:**
\[
4 - 16 = -12
\]
Therefore, this simplifies to:
\[
2(-12) - (-30)
\]

3. **Second Step Calculation:**
Now we multiply:
\[
2(-12) = -24
\]
So, we have:
\[
-24 - (-30)
\]
Which can be rewritten as:
\[
-24 + 30
\]

4. **Final Step Calculation:**
Now we perform the addition:
\[
-24 + 30 = 6
\]

So the correct result of the expression should be:
\[
\boxed{6}
\]

### Summary of the Error:
The error in the original work was during the transition from \(-24 - (-30)\) to \(24 - (-30)\), which is incorrect. It should correctly be calculated as \(-24 + 30\), leading to the correct final result of \(6\).