Hey there!
The value of [tex]n[/tex] is unknown so, let's solve this equation, shall we?
Firstly, we have to [tex]subtract[/tex] by the number [tex]21[/tex] on each of your sides of your equation
Like this:
[tex]4n +[/tex] [tex]21[/tex] [tex]-21[/tex] [tex]=[/tex] [tex]77-12[/tex]
Cancel out: [tex]21-21[/tex] because it gives you the result of [tex]0[/tex]
Keep: [tex]77-21[/tex] because it helps us solve for [tex]n[/tex] so, [tex]77-21[/tex] [tex]= 56[/tex]
Our problem becomes:
[tex]4n[/tex] [tex]=56[/tex]
Secondly, we have [tex]divide[/tex] by the number of [tex]4[/tex] on each sides of the equation
Like this:
[tex]\frac{4n}{4}[/tex] [tex]=[/tex] [tex]\frac{56}{4}[/tex]
Cancel out: [tex]\frac{4n}{4}[/tex] because that gives you the result of [tex]1[/tex]
Keep: [tex]\frac{56}{4}[/tex] because this gives you the result of [tex]n[/tex]; [tex]\frac{56}{4}[/tex] [tex]= 14[/tex]
Therefore, the value of the unknown variable is [tex]14[/tex]
[tex]n=[/tex] [tex]14[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]