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Oxidation and reduction reactions generate a flow of electrons (electricity).
For example a lithium-nickel battery:
Li+ + e- ---> Li
Ni2+ + 2e- ----> Ni
Each reaction produces a certain number of volts. Whichever reaction produces the greatest number of volts will go in the direction (forwards or backwards) that produces that number of volts. The other reaction will go in the opposite direction so as to replenish electrons and keep the movement of electrons flowing between the two cells.

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