4(5 - k)-4(3 - 3k)=-32

Explanation:

Step1: Expand the expressions

$4(5 - k)-4(3 - 3k)=4\times5-4k-4\times3 + 4\times3k=20-4k - 12+12k$.

Step2: Combine like - terms

$(20 - 12)+(-4k + 12k)=8 + 8k$.

Step3: Solve the resulting equation

We have the equation $8 + 8k=-32$. Subtract 8 from both sides: $8k=-32 - 8=-40$. Then divide both sides by 8: $k=\frac{-40}{8}=-5$.

Answer:

$k = - 5$