Why did the French reinstate the Code Noir after gaining Louisiana from Spain? to protect free people of color from enslavement
to establish restrictions on the slave trade
to allow for the expansion of slavery
to reduce the chance of a revolt by enslaved people

What was the purpose of the Code Noir Black Code )?

The Code aimed to provide a legal framework for slavery, to establish protocols governing the conditions of colonial inhabitants, and to end the illegal slave trade.

Explanation:

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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