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

Answer

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Answer

Final Answer: The value of the expression when a is -6 is $\boxed{21}$.

Steps

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 $\boxed{21}$.