7. \( \left(\frac{\gamma}{2} \pm \frac{3}{20}\right)-\frac{2}{20} \)

Sure, let's simplify the expression step by step: \[ \left(\frac{\gamma}{2} \pm \frac{3}{20}\right) - \frac{2}{20} \] This expression involves a "±" (plus-minus) sign, which means there are two cases to consider: 1. **Plus Case (+):** \[ \frac{\gamma}{2} + \frac{3}{20} - \frac{2}{20} \] Combine the constants: \[ \frac{3}{20} - \frac{2}{20} = \frac{1}{20} \] So, the expression simplifies to: \[ \frac{\gamma}{2} + \frac{1}{20} \] 2. **Minus Case (−):** \[ \frac{\gamma}{2} - \frac{3}{20} - \frac{2}{20} \] Combine the constants: \[ -\frac{3}{20} - \frac{2}{20} = -\frac{5}{20} = -\frac{1}{4} \] So, the expression simplifies to: \[ \frac{\gamma}{2} - \frac{1}{4} \] **Final Simplified Expressions:** \[ \begin{cases} \frac{\gamma}{2} + \frac{1}{20} \quad &\text{(Plus Case)} \\ \frac{\gamma}{2} - \frac{1}{4} \quad &\text{(Minus Case)} \end{cases} \] **Summary:** \[ \left(\frac{\gamma}{2} \pm \frac{3}{20}\right) - \frac{2}{20} = \begin{cases} \frac{\gamma}{2} + \frac{1}{20} \\ \frac{\gamma}{2} - \frac{1}{4} \end{cases} \]