Answer
$n=(2m-3)/(-6)$
Work Step by Step
The literal equation made an error when moving the "+3" to the opposite side of the equation. Rather than properly subtracting 3 from both sides of the equation, the "+3" was simply moved from one side of the equation to the other. The correct process would be as such:
$2m=-6n+3$
$2m-3=-6n+3-3$
$2m-3=-6n$
$(2m-3)/(-6)=-6n/(-6)$
$(2m-3)/(-6)= n$
Or
$n=(2m-3)/(-6)$