To evaluate the expression [tex]\(\frac{|2a| - 8}{3}\)[/tex] when [tex]\(a = 7\)[/tex] and [tex]\(b = -4\)[/tex], follow these steps:
1. Substitute the value of [tex]\(a\)[/tex] into the expression:
[tex]\[
|2a| = |2 \cdot 7|
\][/tex]
2. Calculate the absolute value:
[tex]\[
|14| = 14
\][/tex]
3. Subtract 8 from the result:
[tex]\[
14 - 8 = 6
\][/tex]
4. Divide the result by 3:
[tex]\[
\frac{6}{3} = 2.0
\][/tex]
Thus, the value of the expression [tex]\(\frac{|2a|-8}{3}\)[/tex] when [tex]\(a = 7\)[/tex] and [tex]\(b = -4\)[/tex] is [tex]\(2.0\)[/tex].
Therefore, the correct answer is not listed among the options provided.
