SOLUTION: why does the answer key state one answer for the following problem? != absolute value bars problem: 5f-!3f+4!=20 my answers; (12, -8) my answer key: 12

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Question 628343: why does the answer key state one answer for the following problem?
!= absolute value bars
problem: 5f-!3f+4!=20
my answers; (12, -8)
my answer key: 12

Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
5f -|3f+4| = 20
5f - 20 = |3f + 4|
There are two cases: 3f + 4 > 0 and 3f + 4 < 0
Case 1: 3f + 4 > 0
|3f + 4| = 5f - 20
3f + 4 = 5f - 20
2f = 24
f = 24/2
f = 12
Case 2: 3f + 4 < 0
|3f + 4| = -(5f - 20)
3f + 4 = -5f + 20
8f = 16
f = 2
If you check f = 2, it is not the solution. Thus the only solution is f = 12.
Hope it helps:)
John10