Answer: The value of z is -0.75.
Step-by-step explanation:
The given equation is [tex]3.5z-2.7z=-6[/tex]
In term to solve it to find z , we first simplify the left side.
By using distributive property :[tex]ba+ca=(b+c)a[/tex] , we get
[tex](3.5-2.7)z=-6\\\\\Rightarrow 0.8z=-6[/tex]
Now , Divide both sides by 0.8 , we will get
[tex]z=\dfrac{-6}{0.8}=\dfrac{-60}{8}\\\\\Rightarrow\ z=-7.5[/tex]
Hence, the value of z is -0.75.
