Answer :

Sure! Let's work through this problem step-by-step:

We need to evaluate the expression:
[tex]\[ 37.9 - (15.2 + 14.6) + 23.4 \][/tex]

1. Evaluate the expression inside the parentheses:

Calculate the sum of the numbers inside the parentheses:
[tex]\[ 15.2 + 14.6 = 29.8 \][/tex]

2. Subtract the result from the number outside the parentheses:

Subtract the sum we just calculated from 37.9:
[tex]\[ 37.9 - 29.8 = 8.1 \][/tex]

3. Add the remaining number to this result:

Finally, add 23.4 to the result from step 2:
[tex]\[ 8.1 + 23.4 = 31.5 \][/tex]

Therefore, the final result of the expression is:
[tex]\[ 31.5 \][/tex]