Sure, let's break down the given expression step-by-step:
Given expression:
[tex]\[
\left(4^2 - 6\right) + \frac{20}{4} \cdot 5 - 6
\][/tex]
1. Compute [tex]\(4^2\)[/tex]:
[tex]\[
4^2 = 16
\][/tex]
2. Subtract 6 from [tex]\(16\)[/tex]:
[tex]\[
16 - 6 = 10
\][/tex]
3. Compute the division [tex]\(\frac{20}{4}\)[/tex]:
[tex]\[
\frac{20}{4} = 5.0
\][/tex]
4. Multiply the result by 5:
[tex]\[
5.0 \cdot 5 = 25.0
\][/tex]
5. Add the results from steps 2 and 4, then subtract 6:
[tex]\[
10 + 25.0 - 6 = 29.0
\][/tex]
Hence, the detailed, step-by-step solution results in:
[tex]\[
\left(4^2 - 6\right) + \frac{20}{4} \cdot 5 - 6 = 29.0
\][/tex]
The final answer is [tex]\( \boxed{29.0} \)[/tex].
