To evaluate the expression \( 14 - 2xy \) with the given values \( x = -6 \) and \( y = 2 \), follow these steps:
1. Substitute the values of \( x \) and \( y \) into the expression:
[tex]\[
14 - 2(-6)(2)
\][/tex]
2. Multiply the values inside the parentheses:
[tex]\[
-6 \times 2 = -12
\][/tex]
3. Multiply by the coefficient \( -2 \):
[tex]\[
2(-12) = -24
\][/tex]
4. Substitute this result back into the expression:
[tex]\[
14 - (-24)
\][/tex]
5. Simplify the expression by subtracting a negative value, which is equivalent to adding the positive counterpart:
[tex]\[
14 + 24 = 38
\][/tex]
Therefore, the value of the expression \( 14 - 2xy \) when \( x = -6 \) and \( y = 2 \) is \( 38 \).
So, the correct answer is:
[tex]\[
\boxed{38}
\][/tex]
