https://file.aiquickdraw.com/mathbot/file/17261072043243h8c09xi.jpg

The image presents the equation:

\[
\frac{3L}{4} = 8
\]

To solve for \( L \), follow these steps:

1. Multiply both sides of the equation by 4 to eliminate the denominator:
   \[
   3L = 8 \times 4
   \]
   \[
   3L = 32
   \]

2. Divide both sides by 3 to isolate \( L \):
   \[
   L = \frac{32}{3}
   \]

Thus, \( L = \frac{32}{3} \), or approximately \( L = 10.67 \).

Let me know if you'd like further details or explanations!

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Here are some related questions to expand your understanding:

1. What happens if we change the denominator to 5?
2. How would the result differ if the equation was \( \frac{3L}{4} = 10 \)?
3. How can this type of equation be represented graphically?
4. Can you express the solution as a mixed number instead of a fraction or decimal?
5. What real-life situations might use proportions like this?

**Tip**: Always isolate the variable step by step to avoid confusion when solving algebraic equations.

Learn how to solve the algebraic equation 3L/4 = 8. This step-by-step solution covers key algebra concepts, including fractions and equations. Suitable for students in Grades 6-8.

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