
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
The sequence $\{a\_n\}$ is defined by $a\_n = \frac{2n+3}{5}$. Let ${b_n} = [a_n]$, where $[x]$ denotes the greatest integer not exceeding $x$ (e.g., $[0.9]=0$, $[2.6]=2$). Compute the sum of the first 10 terms of the sequence ${b_n}$.

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