Her hair was 24" long and she cut half off so she cut 24/2 = <<24/2=12>>12 inches
Her hair was 24" long and she cut 12" off so she has 24-12 = <<24-12=12>>12 inches left
She has 12" of hair and lets it grow 4 more inches for a total of 12+4 = <<12+4=16>>16 inches
She has 16" and cuts off 2 more inches which leaves her hair 16-2 = <<16-2=14>>14 inches long
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