Answer:
n is 2.4
Step-by-step explanation:
[tex]3(n - 4) + 2(4n - 5) = (n + 2)[/tex]
open the brackets:
[tex](3n - 12) + (8n - 10) = (n + 2)[/tex]
collect like terms together:
[tex]3n + 8n - n = 2 + 12 + 10 [/tex]
factorise out n :
[tex]n(3 + 8 - 1) = 24 \\ 10n = 24 [/tex]
divide all sides by 10 :
[tex] \frac{10n}{10} = \frac{24}{10} \\ \\ n = 2.4[/tex]