
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
Let vector $\overrightarrow{a} =(1,-3)$, $\overrightarrow{b} =(-2,4)$, $\overrightarrow{c} =(-1,-2)$. If the directed line segments representing vectors $4\overrightarrow{a}$, $4\overrightarrow{b} -2\overrightarrow{c}$, $2(\overrightarrow{a}- \overrightarrow{c})$, $\overrightarrow{d}$ can be connected end to end to form a quadrilateral, find the value of vector $\overrightarrow{d}$.

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