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

1 Answer
Mar 12, 2018

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"