
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
Xiao Li and Xiao Zhang both solved the system of equations $\left\{\begin{array}{l}{ax+by=2}\\{mx-7y=-8}\end{array}\right.$. Xiao Li solved it correctly and obtained $\left\{\begin{array}{l}{x=-2}\\{y=3}\end{array}\right.$, while Xiao Zhang copied the value of $m$ incorrectly and obtained $\left\{\begin{array}{l}{x=-2}\\{y=2}\end{array}\right.$. Find the value of $a$ in the original system of equations.

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