What was one of the main reasons the carolina colony eventually split into two separate colonies

The province of Carolina was a British colony founded in 1663. In 1729 it was divided into the province of North Carolina and the province of South Carolina.

Following the English restoration, King Charles II of England decided to reward eight English nobles who had supported him. On March 24, 1663 he named them Lords proprietors, or landowners, of the Carolina, a land so named in honor of his father Charles I, who was beheaded by English revolutionaries in 1649. These lords, whose power was guaranteed by a Royal Charter signed by the king, could operate with a very large autonomy, even from the king himself.  The first permanent settlements were built in 1653 by some settlers from Virginia.

Because of some riots that broke out in the first decades of the eighteenth century and the inability of lords to govern the colony, Carolina was separated into two parts. In 1729 seven of the eight lords decided to resell their land to the king of England. The two Carolina thus officially became colonies of the United Kingdom.

8 - (2a + 7) = a + 40     distribute/multiply - into (2a + 7)

8 - 2a - 7 = a + 40

1 - 2a = a + 40       add 2a on both sides

1 = 3a + 40         subtract 40 on both sides

-39 = 3a       divide 3 on both sides

-13 = a

[proof]

8 - (2a + 7) = a + 40

8 - (2(-13) + 7) = -13 + 40

8 - (-26 + 7) = 27

8 - (-19) = 27

8 + 19 = 27

27 = 27