To simplify the expression \(-14.15 + (-3.78) - (-5.78) - 3.4\), let's follow the steps:
-
Rewrite the expression to make it clearer: \[ -14.15 - 3.78 + 5.78 - 3.4 \]
-
Combine the negative terms:
- Start with the \(-14.15\) and \(-3.78\): \[ -14.15 - 3.78 = -17.93 \]
-
Add \(5.78\): \[ -17.93 + 5.78 = -12.15 \]
-
Subtract \(3.4\): \[ -12.15 - 3.4 = -15.55 \]
So, the simplified expression is: \[ \boxed{-15.55} \]