Let's simplify the given expression step by step:
The expression we need to simplify is:
[tex]\[ \frac{14 + 38 - 2}{25} \][/tex]
Step 1: Perform the operations inside the parentheses.
[tex]\[ 14 + 38 = 52 \][/tex]
[tex]\[ 52 - 2 = 50 \][/tex]
So the expression now looks like:
[tex]\[ \frac{50}{25} \][/tex]
Step 2: Divide the numerator by the denominator.
[tex]\[ \frac{50}{25} = 2 \][/tex]
Thus, the simplified value of the expression is:
[tex]\[ 2.0 \][/tex]