Answer:
The coefficient of q is [tex]\frac{19}{24}[/tex]
Step-by-step explanation:
we have
[tex](\frac{2}{3}q)-\frac{3}{4}(-\frac{1}{6}q-r)\\ \\=(\frac{2}{3}q+\frac{3}{24}q+\frac{3}{4}r)\\ \\=\frac{8*2+3}{24}q+\frac{3}{4}r\\ \\=\frac{19}{24}q+\frac{3}{4}r[/tex]
therefore
The coefficient of q is [tex]\frac{19}{24}[/tex]