Consider the following expression: \[ \frac{4|a|}{2}+|a-3| \] What is the value of this expression when a $=-6$ ? a.) -3 b.) -21 c.) 21 d.) 3

Step 1 ：Given the expression \(\frac{4|a|}{2}+|a-3|\), we are asked to find the value of this expression when a is -6.

Step 2 ：Substitute a with -6 in the expression, we get \(\frac{4|-6|}{2}+|-6-3|\).

Step 3 ：Simplify the expression, we get \(\frac{4*6}{2}+|-6-3| = 12+|-9| = 12+9 = 21\).

Step 4 ：Final Answer: The value of the expression when a is -6 is \(\boxed{21}\).