Question

How do you solve `13n-16=7n+12`?

Answer 1

The answer is

`n = 4.67`

Explanation:

`13n - 16 = 7n +12`

`13n =7n +12 +16`

`13n - 7n = 12 + 16`

`6n = 28`

`n = 28 / 6`

`n =14/3`

So

`n = 4.bar(6)`

Round it up to,

`n = 4.67`

Answer 2

`n=14/3`

Explanation:

`"collect terms in n on the left side of the equation and "`
`"numeric values on the right side"`

`"subtract "7n" from both sides"`

`13n-7n-16=cancel(7n)cancel(-7n)+12`

`6n-16=12`

`"add 16 to both sides"`

`6n=28`

`"divide both sides by 6"`

`(cancel(6) n)/cancel(6)=28/6`

`n=28/6=14/3`