So think of |x+6| as a single object. Move the -6|x+6| to the left side and move the 8 to the right side to get 11|x+6| = 0. Then divide both sides by 11 to get |x+6| = 0 and in this instance the || can be dropped because +0 and -0 are the same. so x + 6 = 0 or x=-6
