Algebra 2 (1st Edition)

$$r=-\frac{25}{2}\quad \mathrm{or}\quad \:r=9$$
Since the value inside the absolute value can be positive or negative and get the same number, we must consider both options. Doing this, we find: $$4r+7=-43\quad \mathrm{or}\quad \:4r+7=43 \\ r=-\frac{25}{2}\quad \mathrm{or}\quad \:r=9$$