This is the 10916th most frequent German word.
sauder
"Sauder" is not a standard German word. It may be a misspelling or a regional term.
Here, "saubermachen" is a compound verb meaning "to clean," combining "sauber" (clean) and "machen" (to make). It describes cleaning something.
Ich habe das Gerät mit einem sauberen Tuch saubergemacht.
I cleaned the device with a clean cloth.
Here, "sauber" is an adjective describing the state of the table after cleaning, meaning "clean."
Der Tisch sieht wirklich sauber aus nach dem Putzen.
The table really looks clean after cleaning.
Here, "saubere" is an adjective agreeing with "Lösung" (solution) and metaphorically means "clear" or "well-thought-out."