Answer
$n=-9$
Work Step by Step
Using the properties of equality, the value of the variable that satisfies the given equation, $
4n+3=2n-15
,$ is
\begin{array}{l}\require{cancel}
4n-2n=-15-3
\\\\
2n=-18
\\\\
n=-\dfrac{18}{2}
\\\\
n=-9
.\end{array}