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].
