solution: Factoring the quadratic on the left gives $$\frac{(2r-7)(3r+1)}{2r-7} = 4r-3.$$Canceling the common factor on the left gives $3r + 1 = 4r - 3$.  Solving this equation gives $r = \boxed{4}$.
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Find the value of $r$ such that $$\frac{6r^2 -19r - 7}{2r-7} = 4r-3.$$
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 4
extra_info.question: Find the value of $r$ such that $$\frac{6r^2 -19r - 7}{2r-7} = 4r-3.$$
extra_info.split: test