Let's simplify the equation step by step:
Given: \[ 7k - 3k - 4k + 4k + k = 20 \]
First, combine the like terms on the left side: \[ (7k - 3k - 4k + 4k + k) = 7k - 3k + k - 4k + 4k \]
This simplifies to: \[ (7k - 3k + k) + (4k - 4k) = 5k + 0 = 5k \]
So, the equation simplifies to: \[ 5k = 20 \]
Now, solve for \( k \) by dividing both sides by 5: \[ k = \frac{20}{5} = 4 \]
Thus, the solution is: \[ \boxed{4} \]