To find an expression equivalent to \(4(-14)\), let's evaluate it:
\[ 4(-14) = -56 \]
Now, let's analyze the provided responses:
- \(4 + -14\) equals \(-10\).
- \(4(-10 + 4)\) simplifies to \(4(-6) = -24\).
- \(4(-10) + 4(-4)\) simplifies to \(-40 + -16 = -56\).
- \(56\) is not equal to \(-56\).
The expression that is equivalent to \(4(-14)\) is:
\[ 4(-10) + 4(-4) \quad \text{(which simplifies to } -56\text{)} \]
Thus, the correct response is:
4(-10) + 4(-4)