Answer:
The expressions that are equivalent are A, D, and E.
Step-by-step explanation:
Given:
-7z+ ( - 6.5) + 3.5z + 6y - 1.5.
On solving the equation:
[tex]-7z+ ( - 6.5) + 3.5z + 6y - 1.5[/tex]
[tex]-7z - 6.5+ 3.5z + 6y - 1.5[/tex]
[tex]-7z + 3.5z + 6y - 1.5-6.5[/tex]
[tex]-3.5z+6y-8[/tex]
So, on solving the equation we get the expression:
[tex]-3.5z+6y-8[/tex]
According to question:
We see that expressions:
A. [tex]-8+6y+(-3.5z)[/tex]
[tex]=-8+6y-3.5z = 3.5z+6y-8[/tex]
So, this expression is equivalent.
D. [tex]6y-8-3.5z[/tex]
[tex]=3.5z+6y-8[/tex]
So, this expression is also equivalent.
E. [tex]-3.5z+6y-8[/tex]
So, this expression is also equivalent.
Therefore, the expressions that are equivalent are A, D, and E.