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The solution to the equation \(\frac{3}{4}j - 2\left(\frac{1}{2}j + 2\right) = \frac{1}{8}j\) is:

\[
j = -\frac{32}{3} \approx -10.67
\]

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Here are 5 related questions for further practice:

1. How do you solve an equation with fractions step by step?
2. What happens when you distribute a negative sign in an equation?
3. How would you solve for \( j \) if the equation had more variables?
4. Can you solve the same equation using decimals instead of fractions?
5. What is the graphical interpretation of this equation?

**Tip:** Always clear fractions by multiplying through by the least common denominator (LCD) to simplify your calculations.

\(\frac{3}{4}j - 2\left(\frac{1}{2}j + 2\right) = \frac{1}{8}j\)

Learn how to solve the algebraic equation \(\frac{3}{4}j - 2\left(\frac{1}{2}j + 2\right) = \frac{1}{8}j\) step-by-step. This problem demonstrates the distributive property, solving equations with fractions, and clearing fractions using the least common denominator. Suitable for students in Grades 8-10.

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