To solve for [tex]\( d \)[/tex] in the equation:
[tex]\[
\frac{d}{2} + 8 = 10,
\][/tex]
follow these steps:
1. Isolate the term with [tex]\( d \)[/tex]:
Subtract 8 from both sides of the equation to isolate the term containing [tex]\( d \)[/tex].
[tex]\[
\frac{d}{2} + 8 - 8 = 10 - 8
\][/tex]
This simplifies to:
[tex]\[
\frac{d}{2} = 2
\][/tex]
2. Solve for [tex]\( d \)[/tex]:
To clear the fraction, multiply both sides of the equation by 2.
[tex]\[
2 \times \frac{d}{2} = 2 \times 2
\][/tex]
This gives:
[tex]\[
d = 4
\][/tex]
So, the value of [tex]\( d \)[/tex] is:
[tex]\[
\boxed{4}
\][/tex]