The ornamental design for a door-closing mechanism with a built-in light, as shown.
FIG. 1 is a perspective view, taken from the front, top, and right side, of a door-closing mechanism with a built-in light, in accordance with our new design;
FIG. 2 is a top plan view of the door-closing mechanism with a built-in light shown in FIG. 1;
FIG. 3 is a bottom plan view of the door-closing mechanism with a built-in light shown in FIG. 1;
FIG. 4 is a front elevational view of the door-closing mechanism with a built-in light shown in FIG. 1;
FIG. 5 is a rear elevational view of the door-closing mechanism with a built-in light shown in FIG. 1;
FIG. 6 is a side elevational view of the door-closing mechanism with a built-in light shown in FIG. 1, taken from the left side of FIG. 1; and,
FIG. 7 is a side elevational view of the door-closing mechanism with a built-in light shown in FIG. 1, taken from the right side of FIG. 1.