N is the incenter of triangle ABC. Use the given information to find NF.
ND = 6x - 2
NE = 3x + 7
ND = NE = NF 6x - 2 = 3x + 7
3x = 9
x = 3
This means NF = 6x - 2 = 6(3) - 2 = 18 - 2 = 16, which is your answer :)
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