Question

-15 - 5|14 + (-6)|

Explanation:

Step1: Calculate the value inside the absolute value

First, we calculate the expression inside the absolute value: \(14 + (-6)\). Adding a negative number is the same as subtracting its positive counterpart, so \(14 + (-6)=14 - 6 = 8\).

Step2: Calculate the absolute value

The absolute value of 8, denoted as \(|8|\), is 8 because the absolute value of a non - negative number is the number itself.

Step3: Perform the multiplication

Next, we multiply 5 by the result of the absolute value. So, \(5\times|8| = 5\times8=40\).

Step4: Perform the subtraction

Finally, we perform the subtraction: \(-15-40\). When we subtract a positive number from a negative number, we add the absolute values and keep the negative sign. So, \(-15 - 40=-(15 + 40)=-55\).

Answer:

\(-55\)