What is the value of n in the equation -(2n + 4) + 6 = -9 + 4(2n + 1)?

Solution:

-(2n + 4) + 6 = -9 + 4(2n + 1)

Using the distributive property

- 2n - 4 + 6 = - 9 + 8n + 4

- 2n + 2 = 8n - 5

By combining the terms and transposing it

- 2n - 8n = - 5 - 2

- 10 n = - 7

So we get

n = 7/10

Therefore, the value of n is 7/10.

What is the value of n in the equation -(2n + 4) + 6 = -9 + 4(2n + 1)?

Summary:

The value of n in the equation -(2n + 4) + 6 = -9 + 4(2n + 1) is 7/10.