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

Hello!

In these types of equations, you would first need to distribute the numbers inside the parenthesis - according to PEMDAS.

-1/2 (2n + 4) + 6 = -9 + 4 (2n + 1)
(-1n - 2) + 6 = -9 + 8n + 4

Now that it's done, we need to combine like terms.

-n + 4 = 8n - 5

Next step is to move everything to it's appropriate places and make the variable equal to something, in other words, solve for n.
-n + 4 = 8n - 5
-9n = -9

Since the variable is negative and has a number of nine, we divide the whole equation by -9 in order to make it positive and leave "n" by itself.

-9n = -9
n = 1

Your answer would be 1.