1. **State the problem:** Simplify the expression $$3m + \frac{2}{2n} - 4 + \frac{m}{2}$$. 2. **Rewrite the expression clearly:** $$3m + \frac{2}{2n} - 4 + \frac{m}{2} = 3m + \frac{1}{n} - 4 + \frac{m}{2}$$ because $$\frac{2}{2n} = \frac{1}{n}$$. 3. **Group like terms:** Combine the terms with $$m$$ and the constants separately: $$3m + \frac{m}{2} + \frac{1}{n} - 4$$ 4. **Add the $$m$$ terms:** To add $$3m$$ and $$\frac{m}{2}$$, find a common denominator: $$3m = \frac{6m}{2}$$ So, $$\frac{6m}{2} + \frac{m}{2} = \frac{6m + m}{2} = \frac{7m}{2}$$ 5. **Rewrite the expression:** $$\frac{7m}{2} + \frac{1}{n} - 4$$ 6. **Final simplified form:** $$\boxed{\frac{7m}{2} + \frac{1}{n} - 4}$$ This is the simplest form since the terms involve different variables and cannot be combined further.