1. **State the problem:** Simplify and solve the equation $\frac{k+k}{k} = 6$. 2. **Recall the formula and rules:** When adding fractions or terms with the same denominator, combine the numerators. Also, $\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}$. 3. **Simplify the numerator:** $k + k = 2k$. 4. **Rewrite the expression:** $\frac{2k}{k} = 6$. 5. **Simplify the fraction:** Since $k \neq 0$, $\frac{2k}{k} = 2$. 6. **Set the simplified expression equal to 6:** $2 = 6$. 7. **Analyze the result:** This is a contradiction, meaning there is no value of $k$ (except possibly $k=0$ which is not allowed as denominator) that satisfies the equation. **Final answer:** No solution for $k$.