To solve for c, we need to get rid of the absolute value. We can do this by setting up two equations:
6c - 3 = 21 and -(6c - 3) = 21
Solving the first equation:
6c - 3 = 21
Add 3 to both sides:
6c = 24
Divide both sides by 6:
c = 4
Solving the second equation:
-(6c - 3) = 21
Distribute the negative sign:
-6c + 3 = 21
Subtract 3 from both sides:
-6c = 18
Divide both sides by -6:
c = -3
So the possible solutions for c are c = 4 and c = -3.
Solve for the given variable:
∣6c−3∣=21
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