00:01
We need to solve this.
00:02
So we're first going to multiply by the common denominator of seven to get rid of our fractions.
00:07
So the seven gets multiplied to the number outside of the parentheses both on the right -hand side and on the left -hand side.
00:13
So this is three times the quantity 2z minus 5 is equal to four times a quantity negative 3z plus 9.
00:20
So now we're going to distribute to get rid of our parentheses.
00:25
So we get 6 -z minus 15 is equal to negative 12 z plus 36.
00:31
6.
00:32
So we're going to add 12 z to both sides.
00:37
And then we're going to add 15 to both sides.
00:41
So 6 plus 12 is 18 z.
00:44
This cancels out equals, this cancels out.
00:47
36 plus 15.
00:52
That's 51.
00:54
51, we're going to divide both sides by 18.
00:59
So we get z is equal to...