Answer:
r = -27/16
Step-by-step explanation:
We have:
8r - 3/2 = -15
To find r, we have to isolate the term which contains this variable. Then, we can use the least common multiple:
[tex]\begin{gathered} 8r-\frac{3}{2}=-15 \\ 8r=-15+\frac{3}{2} \\ 8r=\frac{-15\cdot2+3}{2} \\ 8r=\frac{-30+3}{2} \\ 8r=-\frac{27}{2} \\ \text{Dividing both sides by 8, we have:} \\ \frac{8r}{8}=-\frac{27}{2\cdot8} \\ r=-\frac{27}{16} \end{gathered}[/tex]So,
r = -27/16
