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

So we are going to have to remember how to use the pemdas, or the steps of how to solve these types of equations. We are going to dive straight into the parenthesis and distribute the 1/2 to both 2n and 4. We would get

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

Then let's do the same to the 4 and distribute it to the 2n and 1.

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

We need to add all common variables on the sides before anything else. So lets add 2 and 6 on the left side.

n+8=9+8n+4

Then we need to add 4 and 9 on the right side.

n+8=13+8n

We need to subtract 8 from the left and right side to get rid of 8.

n=5+8n

Now lets subtract 8n to n.

We get

-7n=5

Lets divide -7 with 5, and we get a decimal/fraction.

Answer is -5/7 or -0.714284