Absolute Value

6|n|+3=-9

Remember you can do anything to an equaiton as long as we do it to both sides

and

absolute value makes whatever is inside positeive

aka

|smileyface|>0

remember that

to solve

|x|=y

assume

x=y and

x=-y

(reason is because |-x|=|x|)

6 times abasolute value of n + 3=-9 is it translated to words

6|n|+3=-9

move over, minus 3 both sides

6|n|=-12

divide both sides by 6

|n|=-2

false, absolute value makes it positive

-2 is not positive

no solution