Respuesta :

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]