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Evaluate the variable expression when b = 5 and c = -2.

2b - 2c
A. 14
B. -18
C. 20
D. -12

1 Answer

4 votes

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:

  • 2(5) = 10
  • 2(-2) = -4

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.

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