Final answer:
To evaluate the expression, substitute the given values of w, x, y, and z into the expression. Simplify the expression step by step using the order of operations. The final value of the expression is 5.14.
Step-by-step explanation:
To evaluate the expression, we substitute the given values of w, x, y, and z into the expression:
Expression = |6w - 2y| - 8z
Substituting w = 3/4, x = 8, y = -2, and z = 0.42:
Expression = |6(3/4) - 2(-2)| - 8(0.42)
Simplifying, we get:
Expression = |9/2 + 4| - 3.36
Expression = |9/2 + 8/2| - 3.36
Expression = |17/2| - 3.36
Since the absolute value of 17/2 is 17/2, we have:
Expression = 17/2 - 3.36
Evaluating the subtraction, we get:
Expression = 8.5 - 3.36
Expression = 5.14