Answer: n=1
Step-by-step explanation:
We have the following expression:
[tex]-\frac{1}{2}(2n+4)+6=-9+4(2n+1)[/tex]
Begining by applying the distributive property with the parenthesis:
[tex]-\frac{1}{2}(2n)-\frac{1}{2}(4)+6=-9+8n+4[/tex]
Grouping similar terms:
[tex]-n+4=-8n-5[/tex]
[tex]4+5=8n+n[/tex]
Isolating [tex]n[/tex]:
[tex]n=1[/tex]