What political belief created a system of government that balanced power between the central government and individual states while joining the states together as a single nation?

Federalism

Explanation:

The political belief that created a system of government that balanced power between the central government and individual states while joining the states together as a single nation is known as FEDERALISM.

Federalism is a type of government that combined central government otherwise known as the federal government with individual states otherwise known as the regional government to in one political system of government.

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