Answer :

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]