Answer:
[tex]n=-1.2[/tex]
Step-by-step explanation:
First, solve both sides of the equation:
[tex]3n+5=\frac{1}{2} (11n+16)[/tex]
[tex]3n+5=(\frac{1}{2} )(11n)+(\frac{1}{2} )(16)[/tex] (Distribute)
[tex]3n+5=\frac{11}{2} n+8[/tex]
Then, subtract 11/2 n from both sides:
[tex]3n+5-\frac{11}{2}n=\frac{11}{2} n+8-\frac{11}{2} n[/tex]
[tex]\frac{-5}{2}n+5=8[/tex]
Now, subtract 5 from both the sides:
[tex]\frac{-5}{2} +5-5=8-5[/tex]
[tex]\frac{-5}{2} n=3[/tex]
For the last step, multiply both the sides by 2 / -5
[tex](\frac{2}{-5} )*(\frac{-5}{2} )=(\frac{2}{-5} )*(3)[/tex]
[tex]n=\frac{-6}{5}[/tex]
Convert it to decimal:
[tex]n=-1.2[/tex]
