Question

How do you solve `\frac { 6n } { 4} + 2= - 16`?

Answer 1

`n=-12`

Explanation:

`"multiply all terms on both sides of the equation by 4 "`
`"to eliminate the fraction"`

`cancel(4)xx(6n)/cancel(4)+(4xx2)=(4xx-16)`

`rArr6n+8=-64`

`"subtract 8 from both sides"`

`6ncancel(+8)cancel(-8)=-64-8`

`rArr6n=-72`

`"divide both sides by 6"`

`(cancel(6) n)/cancel(6)=(-72)/6`

`rArrn=-12`

`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 "=(-72)/4+2=-18+2=-16=" right side"`

`rArrn=-12" is the solution"`