
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Emily and Lucas are asked to compute $12 - (3 + 4 \times 2)$. Emily computes it correctly. However, Lucas mistakenly ignores the multiplication and computes as if the operations are all addition and subtraction from left to right: $12 - 3 + 4 - 2$. Let Emily’s correct answer be $E$ and Lucas's incorrect one be $L$. Find $E-L$.
A) -10
B) -6
C) 0
D) 6
E) 10

Present the answer in LaTex format: \boxed{Your answer}
user