To solve the equation \( \frac{4}{3}n + \frac{11}{2} = \frac{3}{2} \), follow these steps:
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Isolate the term with \( n \): Subtract \( \frac{11}{2} \) from both sides:
\[ \frac{4}{3}n = \frac{3}{2} - \frac{11}{2} \]
The right side simplifies to:
\[ \frac{3 - 11}{2} = \frac{-8}{2} = -4 \]
So now we have:
\[ \frac{4}{3}n = -4 \]
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Solve for \( n \): To isolate \( n \), multiply both sides by the reciprocal of \( \frac{4}{3} \), which is \( \frac{3}{4} \):
\[ n = -4 \cdot \frac{3}{4} \]
Simplifying:
\[ n = -3 \]
The solution is:
\[ \boxed{-3} \]