To evaluate the expression ∣∣q - 2mt∣∣ with the given values of m = -4, n = 1, p = 2, q = -6, r = 5, and t = -2, you substitute these values into the expression:
∣∣q - 2mt∣∣ = ∣∣(-6) - 2(-4)(-2)∣∣
Now, calculate the expression step by step:
∣∣(-6) - 2(-4)(-2)∣∣ = ∣∣(-6) - 16∣∣
Now, subtract -16 from -6:
∣∣(-6) - 16∣∣ = ∣∣-22∣∣
Since the absolute value of -22 is 22, the final result is:
∣∣q - 2mt∣∣ = 22