The equation \( 8(n + 6) = 104 \) can represent a real-world problem related to area, specifically in the context of determining the dimensions of a rectangular area.
Real-World Problem:
Imagine you are designing a rectangular garden that needs to have a total area of 104 square units. You decide that the width of the garden will be 8 units. You are unsure of the length of the garden, which you define as \( n + 6 \), where \( n \) is a variable representing some unknown quantity that contributes to the total length beyond a minimum of 6 units.
In this context:
- The width of the garden is 8 units.
- The length of the garden is represented by \( n + 6 \) units.
- The area of a rectangle is calculated by multiplying the width and the length, which gives us the equation \( 8(n + 6) = 104 \).
The goal is to find the value of \( n \) that allows you to maintain the desired area of the garden at 104 square units. Solving the equation helps determine how much longer than 6 units the length should be.
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