To simplify the expression \(-\frac{3}{4}r + 3 - 56r - 6\), we can combine like terms.
First, let's combine the constant terms (3 and -6):
\[ 3 - 6 = -3 \]
Next, we'll combine the \(r\) terms:
\[ -\frac{3}{4}r - 56r \]
To combine these terms, we need a common denominator. We can express \(-56r\) as \(-\frac{224}{4}r\):
\[ -\frac{3}{4}r - \frac{224}{4}r = -\frac{3 + 224}{4}r = -\frac{227}{4}r \]
Now we can write the simplified expression as:
\[ -\frac{227}{4}r - 3 \]
So, the simplified expression is:
\[ -\frac{227}{4}r - 3 \]