Simplify -3/4 r+3 -5/6 r-6

To simplify the expression -3/4 r + 3 - 5/6 r - 6, first combine like terms:

-3/4 r - 5/6 r + 3 - 6

Next, we need to find a common denominator for -3/4 and -5/6. The least common denominator (LCD) for 4 and 6 is 12.

Converting -3/4 to have a denominator of 12:

((-3/4) * 3) / (3/4) = -9/12

Converting -5/6 to have a denominator of 12:

((-5/6) * 2) / (2/6) = -10/12

Now we can rewrite the expression:

-9/12 r - 10/12 r + 3 - 6

Simplifying further:

(-9/12 - 10/12) r + (3 - 6)

-19/12 r + (-3)

The simplified expression is -19/12 r - 3.