
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 $m$ skilled workers, numbered 1, 2, 3, ..., $m$, and $n$ looms, numbered 1, 2, 3, ..., $n$, where $m, n \in \mathbb{N}^*$, define the notation $a_{ij}$: if the $i$-th worker operated the $j$-th loom, then $a_{ij} = 1$, otherwise $a_{ij} = 0$. Determine the meaning of the equation $a_{41} + a_{42} + a_{43} + \ldots + a_{4n} = 3$.

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