To solve the expression \(-14.15 + (-3.78) - (-5.78) - 3.4\), follow the steps below:
-
Rewrite the expression to remove the parentheses: \[ -14.15 - 3.78 + 5.78 - 3.4 \]
-
Combine the negative numbers: \[ (-14.15 - 3.78 - 3.4) + 5.78 \]
-
Calculate the total of the negative numbers: \[ -14.15 - 3.78 = -17.93 \] Then, subtract 3.4: \[ -17.93 - 3.4 = -21.33 \]
-
Now, combine this total with \(5.78\): \[ -21.33 + 5.78 = -15.55 \]
Thus, the result of the expression \(-14.15 + (-3.78) - (-5.78) - 3.4\) is \(\boxed{-15.55}\).