Answer:
To determine the value of the expression −4(21−3−6)−2(–7), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, let's simplify the expression inside the parentheses:
21 - 3 - 6 = 18 - 6 = 12
Now we can substitute this value back into the original expression:
−4(12)−2(–7)
Next, we perform the multiplication:
−4 * 12 = -48
-2 * (-7) = 14
Substituting these values back into the expression:
-48 - 14
Finally, we perform the subtraction:
-48 - 14 = -62
Therefore, the value of the expression −4(21−3−6)−2(–7) is -62.
Explanation: