1. **Problem:** Simplify the expression $\overline{ab} + (a+c)$. 2. **Apply De Morgan's Law:** $$\overline{ab} = \overline{a} + \overline{b}$$ So the expression becomes: $$(\overline{a} + \overline{b}) + (a + c)$$ 3. **Rearrange terms:** $$(\overline{a} + a) + \overline{b} + c$$ 4. **Use the complement rule:** $$\overline{a} + a = 1$$ 5. **Final simplified expression:** $$1 + \overline{b} + c = 1$$ Since $1$ OR anything is $1$, the final result is $1$.