To determine the value of [tex]\(\frac{-2(7-15)}{4}\)[/tex], we can follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Start by solving the expression inside the parentheses:
[tex]\[
7 - 15
\][/tex]
Subtract 15 from 7:
[tex]\[
7 - 15 = -8
\][/tex]
2. Next, multiply -2 by the result of the parentheses:
[tex]\[
-2 \times (-8)
\][/tex]
The product of -2 and -8 is:
[tex]\[
-2 \times (-8) = 16
\][/tex]
3. Now, divide this result by the denominator, which is 4:
[tex]\[
\frac{16}{4}
\][/tex]
The division of 16 by 4 is:
[tex]\[
\frac{16}{4} = 4
\][/tex]
Therefore, the value of [tex]\(\frac{-2(7-15)}{4}\)[/tex] is:
[tex]\[
\boxed{4}
\][/tex]
