Question

what is the value of n in the equation $-\frac{1}{2}(2n + 4)+6=-9 + 4(2n + 1)$?
n = \boxed{}

Explanation:

Step1: Simplify both sides

$-\frac{1}{2}(2n+4)+6 = -9+4(2n+1)$
$-(n+2)+6 = -9+8n+4$
$-n-2+6 = 8n-5$

Step2: Combine like terms

$-n+4 = 8n-5$

Step3: Isolate n terms

$-n-8n = -5-4$
$-9n = -9$

Step4: Solve for n

$n = \frac{-9}{-9}$

Answer:

$1$