Question 682644
Multiply the entire equation by 30 (LCM of 5 and 6)
...
{{{30((4r-3)/5) - 30((7r-1)/6) = 30(6/5)}}}
6(4r-3) - 5(7r-1) = 6(6)
...
24r - 18 - 35r + 5 = 36
24r - 35r = 36 + 18 - 5
-11r = 49
{{{r = -49/11}}}

.....................
Have more questions? 
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com 
Wanting for others what we want for ourselves.