Final answer:
By substituting the values b = 5 and c = -2 into the expression 2b - 2c, performing the multiplication, and then doing the subtraction, we find that the expression evaluates to 14.
Step-by-step explanation:
To evaluate the variable expression 2b - 2c when b = 5 and c = -2, we substitute the values of b and c into the expression. The expression thus becomes 2(5) - 2(-2).
Next, we perform the multiplication:
Now, we subtract the second product from the first:
10 - (-4) = 10 + 4 = 14
Therefore, the expression 2b - 2c evaluates to 14 when b = 5 and c = -2, which corresponds to option A. 14.