To determine which equation corresponds to the problem, we need to understand the structure of the equations presented and the problem itself.
Based on the options, the first expression shows \(8\) multiplied by the quantity \(2n + 6\) equating to \(104\). This would typically arise in a scenario where \(8\) identical groups of an expression are involved, which could fit many word problems that describe grouping or distributing.
Next, the second expression \(8(n + 6) = 104\) suggests \(8\) multiplied by \(n + 6\) is equal to \(104\). This indicates a similar grouping scenario but with a different expression for the contents of the group.
The third option, \(2n + 6 = 8\), suggests a more straightforward relationship without any grouping of \(8\).
The last option, \(8 + n + n + 6 = 104\), indicates a sum rather than a product.
If the problem is about grouping or scaling an expression (for instance, \(8\) times some number or an expression is equal to \(104\)), then either of the first two equations is likely appropriate.
Without additional context about the problem, one could argue that both \(8(2n + 6) = 104\) and \(8(n + 6) = 104\) are valid, but they represent different scenarios.
However, the first option \(8(2n + 6) = 104\) provides a more compound expression which may be more contextually relevant if you are combining different units or components.
Final Answer (assuming the problem involves scaling an expression): \(8(2n + 6) = 104\).
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