Answer :

To solve for [tex]\( b \)[/tex] in the equation [tex]\(\frac{b}{2} - 8 = 3\)[/tex], follow these steps:

1. Isolate the term with [tex]\( b \)[/tex]:
Start by removing the constant term [tex]\(-8\)[/tex] from the left side of the equation. To do this, add 8 to both sides:

[tex]\[ \frac{b}{2} - 8 + 8 = 3 + 8 \][/tex]

This simplifies to:

[tex]\[ \frac{b}{2} = 11 \][/tex]

2. Solve for [tex]\( b \)[/tex]:
Now, you have [tex]\(\frac{b}{2} = 11\)[/tex]. To isolate [tex]\( b \)[/tex], you need to get rid of the fraction. Do this by multiplying both sides of the equation by 2:

[tex]\[ \left(\frac{b}{2}\right) \times 2 = 11 \times 2 \][/tex]

Simplify the equation:

[tex]\[ b = 22 \][/tex]

Therefore, the value of [tex]\( b \)[/tex] is [tex]\( 22 \)[/tex].

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