Answer
$n=-12$
Work Step by Step
Multiplying both sides by the $LCD=
4
$ and then using the properties of equality, the value of the variable that satisfies the given equation, $
\dfrac{2n+1}{4}+2=\dfrac{n-3}{4}
,$ is
\begin{array}{l}\require{cancel}
1(2n+1)+4(2)=1(n-3)
\\\\
2n+1+8=n-3
\\\\
2n-n=-3-1-8
\\\\
n=-12
.\end{array}
