Respuesta :

Answer:

n=21

Step-by-step explanation:

We must find n.

Remember PEMDAS. First we must do the Parentheses. Lets do distributive property by multiplying a number that is immediately outside the parentheses with each number inside the parentheses. Lets do this one side at a time.

First lets do 5(n - 7). We get 5n - 35

Now 2(n + 14) is 2n + 28

Okay...... now we have [tex]5n-35=2n+28[/tex]

Now lets do OPPOSITES!!!! We must do the opposite of each thing to both sides.

The opposite of -35 is positive 35. Lets add 35 to both sides. We get:

[tex]5n=2n+63[/tex]

Now lets do the opposite of 2n which is -2n

[tex]3n=63[/tex]

this is looking quite nice isnt it..........

The opposite of 3 times n is 3 DIVIDED BY n. So lets divide both sides by 3

[tex]n=21[/tex]

amazing.......

5n-35 = 2n+28

5n-2n = 28+35

3n=63

3n/3 = 63/3

N= 21