Answer
$c=0$.
Work Step by Step
The given equation is
$\Rightarrow 3c+1=c+1$
Subtract $1$ from both sides.
$\Rightarrow 3c+1-1=c+1-1$
Simplify.
$\Rightarrow 3c=c$
Subtract $c$ from both sides.
$\Rightarrow 3c-c=c-c$
Simplify.
$\Rightarrow 2c=0$
Divide both sides by $2$.
$\Rightarrow \frac{2c}{2}=\frac{0}{2}$
Simplify.
$\Rightarrow c=0$.
Check :-
$\Rightarrow 3(0)+1=0+1$
$\Rightarrow 0+1=0+1$
$\Rightarrow 1=1$
True.
Hence, the solution is $c=0$.
