Let's simplify the expression step-by-step: [tex]\(-10 + 8 \cdot (4 - \frac{7^2}{7})\)[/tex].
1. Calculate the exponentiation:
[tex]\[
7^2 = 49
\][/tex]
2. Perform the division:
[tex]\[
\frac{49}{7} = 7.0
\][/tex]
3. Simplify within the parenthesis:
[tex]\[
4 - 7.0 = -3.0
\][/tex]
4. Perform the multiplication:
[tex]\[
8 \cdot (-3.0) = -24.0
\][/tex]
5. Add the result to [tex]\(-10\)[/tex]:
[tex]\[
-10 + (-24.0) = -34.0
\][/tex]
The simplified value of the expression [tex]\(-10 + 8 \cdot (4 - \frac{7^2}{7})\)[/tex] is [tex]\(\boxed{-34}\)[/tex].
