−3/4r + 3 − 5/6r − 6
To simplify this expression, we need to combine like terms.
First, let's combine the -3/4r and -5/6r terms. To do this, we need to find a common denominator. The least common denominator (LCD) of 4 and 6 is 12, so let's rewrite the two terms with denominators of 12:
-3/4r = -9/12r
-5/6r = -10/12r
Now we have:
-9/12r + 3 - 10/12r - 6
Next, let's combine the -9/12r and -10/12r terms:
-9/12r - 10/12r = (-9 - 10)/12r = -19/12r
Now our expression becomes:
-19/12r + 3 - 6
Finally, subtract 6 from 3:
-19/12r + 3 - 6 = -19/12r - 3
So the simplified expression is -19/12r - 3.