From the right pocket of my pants, I moved 4 five-crown coins to the left pocket, and from the left pocket, I moved 16 two-crown coins to the right pocket. Now I have 13 crowns less in the left pocket than in the right. In which pocket did I have more crowns at the beginning, and by how much?

(Bednářová)
We solve the example from the end, using the $\mathrm{k}$ table:

state at the end

left pocket (L) right pocket $(\mathrm{P}) \quad$ difference

move 16 two-crowns from $\mathrm{P}$ to $\mathrm{L}$

32

13

13

move 4 five-crowns from $\mathrm{L}$ to $\mathrm{P}$

12

owe 19

51

1

Conclusion: I had 11 crowns more in the left pocket than in the right.