Solve the equation. \( \frac{1}{2} p=\frac{3}{5} p+\frac{3}{2} \) Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is \( \{\square\} \). (Simplify your answer.) B. There is no solution.

To solve the equation: \[ \frac{1}{2} p = \frac{3}{5} p + \frac{3}{2} \] **Step 1:** Subtract \(\frac{3}{5} p\) from both sides to isolate the terms involving \(p\): \[ \frac{1}{2} p - \frac{3}{5} p = \frac{3}{2} \] **Step 2:** Find a common denominator to combine the terms on the left side. The common denominator for 2 and 5 is 10: \[ \frac{5}{10} p - \frac{6}{10} p = \frac{3}{2} \] \[ \frac{-1}{10} p = \frac{3}{2} \] **Step 3:** Solve for \(p\) by multiplying both sides by \(-10\): \[ p = \left(\frac{3}{2}\right) \times (-10) = -15 \] **Conclusion:** The solution set is \(\{-15\}\). **Answer Choice:** **A. The solution set is \( \{-15\} \).**