なくて済む/ないで済む => get by without doing ~ N2
~に~かい(~に~回)      => Do ~ times in ~ period N5
Frequency
を[経「へ」]て => After A N1
Time, Situation
~をたて(~を経て)      => through; after; via N1
ずに済む => get by without doing ~ N2
て済む => sufficient by; no problem to; resolve by ~ N3