1. **State the problem:** Solve the equation $\alpha + 2\beta + 3\lambda = 2$ for one variable in terms of the others. 2. **Formula and rules:** This is a linear equation with three variables. To express one variable in terms of the others, isolate that variable on one side. 3. **Isolate $\alpha$:** $$\alpha + 2\beta + 3\lambda = 2$$ Subtract $2\beta + 3\lambda$ from both sides: $$\alpha = 2 - 2\beta - 3\lambda$$ 4. **Explanation:** We moved all terms except $\alpha$ to the right side by subtracting them, which isolates $\alpha$. 5. **Final answer:** $$\boxed{\alpha = 2 - 2\beta - 3\lambda}$$