Question

solve the absolute value equation for c.
$4|c| = 16$
show your work here
$c = $
$c = $

Explanation:

Step1: Isolate absolute value term

Divide both sides by 4:
$\frac{4|c|}{4} = \frac{16}{4}$
Simplify to get $|c| = 4$

Step2: Solve for positive case

When $c \geq 0$, $|c|=c$, so:
$c = 4$

Step3: Solve for negative case

When $c < 0$, $|c|=-c$, so:
$-c = 4$
Multiply both sides by -1: $c = -4$

Answer:

$c = 4$
$c = -4$