SOLUTION: Please help: 6(|n|-3)-4|n|+5=11 I tried to do this and got n=12 and n=-12. I'm not sure if this is correct, though.

Question 407946: Please help: 6(|n|-3)-4|n|+5=11
I tried to do this and got n=12 and n=-12. I'm not sure if this is correct, though.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
that is correct.....
remember:
absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative.
The absolute value of positive |5| is 5.
distance from 0: 5 units in positive direction
The absolute value of |5| is 5
distance from 0: 5 units in negative direction
6(|n|-3) - 4|n|+5=11
6|n|-18 - 4|n|+5=11
2|n|-13=11
2|n|=11 +13
2|n|=24
|n|=12...............=> now think about |n| = 12. You are looking for numbers whose absolute values are equal to 12. It turns out that only real numbers negative 12 and positive 12 make the equality true.
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