To simplify the expression [tex]\( z - \frac{4}{4} + 8 \)[/tex], let's follow these steps:
1. Calculate [tex]\( \frac{4}{4} \)[/tex]:
[tex]\[
\frac{4}{4} = 1
\][/tex]
2. Substitute this value back into the expression:
[tex]\[
z - 1 + 8
\][/tex]
3. Combine the constants [tex]\(-1\)[/tex] and [tex]\(8\)[/tex]:
[tex]\[
-1 + 8 = 7
\][/tex]
4. Thus, the simplified form of the expression becomes:
[tex]\[
z + 7
\][/tex]
From the given options:
A. [tex]\( z - 7 \)[/tex]
B. [tex]\( z + 9 \)[/tex]
C. [tex]\( z - 3 \)[/tex]
D. [tex]\( z + 7 \)[/tex]
The correct answer is:
D. [tex]\( z + 7 \)[/tex]
