1. **State the problem:** Solve the equation $20 - 6 + 4k = 2 - 2k$ for $k$. 2. **Simplify both sides:** Combine like terms on the left side. $$20 - 6 + 4k = 14 + 4k$$ So the equation becomes: $$14 + 4k = 2 - 2k$$ 3. **Isolate variable terms:** Add $2k$ to both sides to get all $k$ terms on one side. $$14 + 4k + 2k = 2 - 2k + 2k$$ $$14 + 6k = 2$$ 4. **Isolate constant terms:** Subtract 14 from both sides. $$14 + 6k - 14 = 2 - 14$$ $$6k = -12$$ 5. **Solve for $k$:** Divide both sides by 6. $$k = \frac{-12}{6} = -2$$ **Final answer:** $$k = -2$$