What was at the center of the argument for the Three-Fifths Compromise?

The main argument for the 3/5ths compromise at the United States Constitutional Convention was that slaves, although not really citizens, should be partially counted in population statistics. The idea was that 3/5th of the slave number would be counted as the population, which would determine taxes and House of Representatives representation. That way, people with more slaves, paid less taxes, had more representation in Congress, and they slowly became richer.

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1.3x - 2 - (3.3x + 5) = 2x + 1

1.3x - 2 - 3.3x - 5 = 2x + 1

-2x - 7 = 2x + 1

-7 = 4x + 1

-8 = 4x

x = -2

a countries leader should be motivated by the common good of the country.