Question

question
solve for all values of c in simplest form.
20 = |1 - 3c|

Explanation:

Step1: Split absolute value equation

For $|1-3c|=20$, we have two cases:
$1-3c=20$ or $1-3c=-20$

Step2: Solve first case for $c$

Isolate term with $c$:
$-3c=20-1$
$-3c=19$
Divide by $-3$:
$c=\frac{19}{-3}=-\frac{19}{3}$

Step3: Solve second case for $c$

Isolate term with $c$:
$-3c=-20-1$
$-3c=-21$
Divide by $-3$:
$c=\frac{-21}{-3}=7$

Answer:

$c=-\frac{19}{3}$ and $c=7$