1. **State the problem:** Solve for $k$ in the equation $$\frac{2}{5}k + 4 = 6$$. 2. **Isolate the term with $k$:** Subtract 4 from both sides: $$\frac{2}{5}k + 4 - 4 = 6 - 4$$ $$\frac{2}{5}k = 2$$ 3. **Solve for $k$:** Multiply both sides by the reciprocal of $\frac{2}{5}$, which is $\frac{5}{2}$: $$k = 2 \times \frac{5}{2}$$ 4. **Simplify:** $$k = \cancel{2} \times \frac{5}{\cancel{2}} = 5$$ **Final answer:** $$k = 5$$