Answer
c=$\frac{1}{2}$
c=-$\frac{5}{6}$
Work Step by Step
Original Equation
|1+6c|-7=-3
Add 7 to both sides
|1+6c|=4
Take 1+6c and solve
1+6c=4
Subtract 1 from both sides
6c=3
Divide both sides by 6
c=$\frac{1}{2}$
Make 1+6c negative and solve
-1-6c=4
Add 4 to both sides
-6c=5
Divide both sides by -6
c=-$\frac{5}{6}$