Lindsay's Mom: 'Everything's under control'

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A day after Lindsay Lohan revealed that she'd checked into rehab, her mother tells PEOPLE that the actress is 'absolutely fine.'"This is a wonderful, giant step she's taking and it's all good," Dina Lohan said Thursday. "Hollywood's a really, really busy scary place and everything is under control."Dina says she's proud that her 20-year-old daugther is mature enough to take care of herself and "not worry about what anyone's going to say about her."On Wednesday, Lindsay said in a statement that she had made the decision to enter rehab in order "To take care of my personal health."The statement continues: "I appreciate your well wished and ask that you please respect my privacy at this time."As for how Lindsay is doing: "Everything's great and she's just getting a grip on her life," says Dina. "When I was 20 I don't know that I would be that strong to do that, so it's all good."In terms of the facility where Lindsay is being treated, her mother says, "It's an outpatient program where, of course, (she'll be) in for the first week or two."After that Lindsay plans to get back to work on her film, I know Who Killed Me, which has temporarily suspended filming."Then she'll pick up the film again and start working and have someone with her and all is good," says Dina. "As a parent I couldn't be more pleased and proud."