
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  $T$  be the answer to question  $18$ . Rectangle  $ZOMR$  has  $ZO = 2T$  and  $ZR = T$ . Point  $B$  lies on segment  $ZO$ ,  $O'$  lies on segment  $OM$ , and  $E$  lies on segment  $RM$  such that  $BR = BE = EO'$ , and  $\angle BEO' = 90^o$ . Compute  $2(ZO + O'M + ER)$ .

PS. You had better calculate it in terms of  $T$ .

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