Please help me identify and exterminate this insect:
Looks like a silverfish which are a common pest.
That is a silverfish.
Eliminating the environment they like may be enough to eradicate them. They like moisture, and cellulose or sugar. Stacks of boxes in a garage, books or magazines in a bathroom or kitchen, and moisture in walls with cellulose insulation or wallpaper are common places where silverfish like to live.