
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
Given that $\triangle FGH$ and $\triangle IJK$ are two triangles on a plane, $FG=5$ units, $FH=4$ units, $\angle GFH=30^{\circ}$, $IJ=2$ units, $IK=6$ units, and $\angle IJK=30^{\circ}$, with $\angle GFH = \angle IJK$, calculate the length of side $JK$.

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