So you need to isolate/get "b" by itself in the equation:
[tex]3=\frac{3}{4}(b-8)[/tex] Distribute/multiply 3/4 into (b - 8)
[tex]3=(\frac{3}{4}(b))+(\frac{3}{4}(-8))[/tex]
[tex]3=(\frac{3}{4} b)+(-6)[/tex] Don't know which goes into the parentheses....think the one above makes more sense...maybe....sorry
[tex]3=\frac{3}{4} b-6[/tex] Add 6 on both sides
[tex]9=\frac{3}{4} b[/tex] Multiply the reciprocal of 3/4 to get rid of the fraction and get b by itself, which would be 4/3 [basically flipping the fraction or switching the numerator and the denominator]
[tex]\frac{36}{3} =b[/tex] Simplify the fraction
12 = b