How far away are the galaxies?

If we knew how bright a star is, we could determine how far away it is.
The precise relation between distance, apparent brightness, and true brightness is an elaboration of a common-sense observation: given two lights of the same brightness, the one farther away will appear dimmer.
For the nearby stars, we have seen the distance was determined by parallax.
Knowing how bright the stars appear and how far away they are, we can determine the actual brightness of these nearest stars.
For these stars, Hertzsprung and Russell compared the actual brightness to the color (more precisely, the spectral type) of the stars.
Most stars fit into an approximately diagonal band called the main sequence.
The complete graph of spectral type vs actual brightness is called the HR Diagram.
With the HR Diagram, the color of a star can be used to determine its actual brightness.
Comparison with its apparent brightness allows the distance to be determined.
This works reasonably well to determine the distance to stars, but what about the distance to galaxies?
In other galaxies, most individual stars can't be resolved well enough to determine spectral type, so the HR disgram can't be used.

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