To solve for [tex]\( f \)[/tex] in the equation
[tex]\[
\frac{f-13}{2} = 3,
\][/tex]
we follow these steps:
1. Isolate the expression involving [tex]\( f \)[/tex]:
Begin by eliminating the fraction. Multiply both sides of the equation by 2:
[tex]\[
2 \cdot \frac{f-13}{2} = 2 \cdot 3.
\][/tex]
Simplifying both sides, we get:
[tex]\[
f - 13 = 6.
\][/tex]
2. Solve for [tex]\( f \)[/tex]:
To isolate [tex]\( f \)[/tex], add 13 to both sides of the equation:
[tex]\[
f - 13 + 13 = 6 + 13.
\][/tex]
This simplifies to:
[tex]\[
f = 19.
\][/tex]
Therefore, the value of [tex]\( f \)[/tex] is
[tex]\[
\boxed{19}.
\][/tex]
