Answer: Our simplified form is
[tex]\frac{1}{2}-\frac{9}{4}z[/tex]
Step-by-step explanation:
Since we have given that
[tex]\frac{3}{4}-4z+\frac{5}{4}z-\frac{1}{2}+\frac{1}{2}z[/tex]
Gather the like terms:
[tex]\frac{3}{4}-4z+\frac{5}{4}z-\frac{1}{2}+\frac{1}{2}z\\\\=\frac{3}{4}-\frac{1}{2}-4z+\frac{5}{4}z+\frac{1}{2}z\\\\=\frac{6-4}{4}+\frac{-16z+5z+2z}{4}\\\\=\frac{2}{4}-\frac{9}{4}z\\\\=\frac{1}{2}-\frac{9}{4}z[/tex]
Hence, our simplified form is
[tex]\frac{1}{2}-\frac{9}{4}z[/tex]
