Can someone please help me solve this absolute value equation?
The equation is: -4|t-2|-9=-37
The thing I don't understand is how to isolate the absolute value (t-2). Do I divide both sides by -4 and then add both sides by -9? In that case I would get |t-2|= 73/4
-4|t-2| - 9 = -37
-4|t-2| = -28
|t-2| = 7
so, which numbers are 7 away from 2?
t = 9 or -5
more rigorously, either
(t-2) = 7
t=9
or
-(t-2) = 7
-t+2 = 7
t = -5