Question

How do you solve `-10-n/5=7`?

Answer 1

`n=-85`

Explanation:

`"to eliminate the fraction, multiply ALL terms by 5"`

`rArr(-10xx5)+cancel(5)xx-n/cancel(5)=(7xx5)`

`rArr-50-n=35`

`"add 50 to both sides"`

`cancel(-50)cancel(+50)-n=35+50`

`rArr-n=85`

`"multiply both sides by - 1"`

`rArrn=-85`

`color(blue)"As a check"`

Substitute this value into the left side of the equation and if equal to the right side then it is the solution

`"left side "=-10-((-85))/5=-10+17=7=`

`rArrn=-85" is the solution"`

Answer 2

-85

Explanation:

Move 10 to the other side of the equation and change the sign

`-n/5 = 7+10`
`-n/5 = 17`

Multiply 17 by 5

`-n=85`

Move the - sign to the other side

`n = -85`