Question

Type the correct answer in the box. Use numerals instead of words.

What value of n makes the equation true?
2/3n=-12
n=

Answer 1

Hi!

To find the value of n in the given equation, multiply both sides by 3.

That way, you'll clear the fractions and solving for n will be easier.

`\implies\boldsymbol{\displaystyle(2)/(3) n*3=-12*3}`

Watch what happens:

`\implies\boldsymbol{\displaystyle(2)/(\\ot3) n*\\ot3=-36}`

On the LHS, the 3's cancel out, and we're left with 2n:

`\implies\boldsymbol{2n=-36}`

Now, divide both sides by 2:

`\implies\boldsymbol{n=-18.}`

Voila! There's our solution.

Have a nice day!

I hope this helps.

-stargazing

Answer 2

n=-18

Explanation:

Steps:

multiply 3 by both sides of the equation

1. 
   `3((2)/(3) )=(-12)3`

2. cross out the 3 from
`3((2)/(3) )` and you will get 2 and then do -12 x 3 and you will get -36.

3. you now have 2n=-36

4. divide both sides by 2 to isolate n by itself.

`(2n)/(2) =(-36)/(2)`

5. divide by crossing out 2 and 2 on the right and then do -36 ÷ 2 which will give you n= -18

Hope this helps :) if you have any questions let me know.