How does the light from a flashlight that is shone from two different distances model the apparent magnitude of two stars with the same absolute magnitude ?

With the distance allowing us a conversion from one to the other. Two stars can have the same apparent magnitude, but different absolute magnitude, if we measure the same amount of light from them, but they're at a different distance from the Earth.

Explanation:

2h2o2--> 2h2o + o2

this reaction is of the spontaneous decomposition of hydrogen peroxide down into water and oxygen.

add 2 molecules of hydrogen peroxide and 2 molecules of water. since oxygen is naturally diatomic, the total number of atoms of each element is now the same on both sides of the equation so it is balanced.

this may not be entirely correct but let me know.