To simplify the expression \(-3.4r + 3 - 5.6r - 6\), we can combine like terms.
First, let's combine the terms involving \(r\): \[ -3.4r - 5.6r = (-3.4 - 5.6)r = -9r \]
Next, let's combine the constant terms: \[ 3 - 6 = -3 \]
Putting it all together, we get: \[ -9r - 3 \]
So, the simplified expression is: \[ -9r - 3 \]