Nigel seems to have made an error in his attempt to solve the equation. Let's go through the solution step by step correctly. The given equation is:
[tex]\[
\frac{1}{2}(2h - 4) = 20
\][/tex]
### Step 1: Simplify the left side by distributing [tex]\(\frac{1}{2}\)[/tex]
[tex]\[
\frac{1}{2} \cdot (2h - 4) = \frac{1}{2} \cdot 2h - \frac{1}{2} \cdot 4 = h - 2
\][/tex]
So, the equation simplifies to:
[tex]\[
h - 2 = 20
\][/tex]
### Step 2: Solve for [tex]\( h \)[/tex] by adding 2 to both sides
Add 2 to both sides to isolate [tex]\( h \)[/tex]:
[tex]\[
h - 2 + 2 = 20 + 2
\][/tex]
[tex]\[
h = 22
\][/tex]
The final answer is:
[tex]\[
h = 22
\][/tex]
Nigel's steps contained errors because he incorrectly simplified the distribution and the subsequent steps based on that incorrect simplification. The correct value of [tex]\( h \)[/tex] is 22.
