The situation started when 18-year-old Emma Sullivan tweeted that the governor "sucked" in person.
Brownback's office contacted her school and asked her to apologize.
School administrators sided with the governor and asked her to write a letter of apology. Sullivan refused.
On Monday, the governor did a reversal and actually issued his own apology, saying his staff overreacted.
Sullivan agreed and said she's not sorry for her tweet.
"I'm in high school. Do people not remember being in high school and things they said?" said Sullivan. "Every part of the country has been tweeting at me and emailing me, saying they support me and that I shouldn't do it."
Sullivan now has a much bigger following on Twitter. She started last week with 65 followers and now has more than 14,000.