Simplify
- 3/4r + 3 - 5/6r - 6
To simplify this expression, combine like terms.
First, combine the terms with "r":
(-3/4r) - (5/6r)
To add these fractions, you need a common denominator of 12:
(-3/4r) - (5/6r) = (-9/12r) - (10/12r)
Next, combine the constant terms:
3 - 6 = -3
Putting it all together:
(-9/12r) - (10/12r) + (-3)
Combine the "r" terms first:
-19/12r + (-3)
This can be written as:
-19/12r - 3
So the simplified expression is -19/12r - 3.