2|t - 3| - 3 = 7 Isolate the absolute value, add 3 to both sides.
2|t - 3| = 10 divide both sides by 2
|t - 3| = 5 With abosule value there are two answers one positive and the other negative.
t - 3 = 5 or t - 3 = -5
t = 8 or t = -2
CHECK:
2|t - 3| - 3 = 7 with t = 8 and t = -2
2|8 - 3| - 3 = 7 2|-2-3| - 3 = 7
2|5| - 3 = 7 2|-5| - 3 = 7
10 - 3 = 7 10 - 3 = 7
7 = 7 7 = 7
both answers work.