1. **State the problem:** Solve for $K$ in the equation $$\frac{K + K}{K} = 6.$$\n\n2. **Rewrite the expression:** The numerator $K + K$ simplifies to $2K$, so the equation becomes $$\frac{2K}{K} = 6.$$\n\n3. **Simplify the fraction:** Since $K \neq 0$, $$\frac{2K}{K} = 2.$$\n\n4. **Set the simplified expression equal to 6:** $$2 = 6.$$\n\n5. **Analyze the result:** The equation $2 = 6$ is false, which means there is no value of $K$ (except possibly $K=0$ which is not allowed because it makes the denominator zero) that satisfies the original equation.\n\n**Final answer:** There is no solution for $K$ that satisfies $$\frac{K + K}{K} = 6.$$