Question

solve the absolute value equation for c.
|-7c| = 35
show your work here
c =
c =

Explanation:

Step1: Apply absolute value rule

If $|x|=a$ ($a>0$), then $x=a$ or $x=-a$. So:
$-7c = 35$ or $-7c = -35$

Step2: Solve first equation for $c$

Divide both sides by $-7$:
$c = \frac{35}{-7} = -5$

Step3: Solve second equation for $c$

Divide both sides by $-7$:
$c = \frac{-35}{-7} = 5$

Answer:

$c = -5$
$c = 5$