00:01
So here we are solving the problem negative 3 z divided by 8 equals 9.
00:09
And we want to solve for z.
00:11
So we want z by itself.
00:12
And so i want to undo everything that's happening to z.
00:16
So currently it's being multiplied by negative 3 over 8.
00:19
So i'm going to multiply by the reciprocal, which is negative 8 over 3.
00:23
And i'm going to do that to both sides to make sure that the equation stays equal.
00:29
If i only lose it to one side, we would no longer have an equal sign there.
00:34
So if i do this, my 8s cancel, my 3s cancel, and my negative signs cancel.
00:41
So i end up with on the left, just z, which is exactly what we wanted.
00:46
On the right, i'll have 9 times negative 8 thirds.
00:50
So i can divide, i can pull out this 3 and a 3 out of the 9, and i'm left with 3.
00:58
And then when i multiply this out, i just get negative 24...