Answer:
9x + 72.
Explanation:
To evaluate the expression bda + c using the given values for a, b, c, and d:
a = -2
b = 3
c = -12
d = (-3x - 4) / (-2) - 12
Now, substitute these values into the expression:
bda + c = 3 * (-2) * [(-3x - 4) / (-2) - 12] - 12
Let's simplify step by step:
1. Start with the expression:
bda + c = 3 * (-2) * [(-3x - 4) / (-2) - 12] - 12
2. Simplify within the brackets:
bda + c = 3 * (-2) * [(-3x - 4) / (-2)] - 3 * (-2) * 12 - 12
3. Cancel out -2 and 3 in the first term:
bda + c = -6 * [(-3x - 4) / (-2)] - 3 * (-2) * 12 - 12
4. Remove the negative signs in front of the fractions:
bda + c = 6 * [(3x + 4) / 2] - 3 * (-2) * 12 - 12
5. Distribute the 6 into the fraction:
bda + c = (6/2) * (3x + 4) - 3 * (-2) * 12 - 12
6. Simplify further:
bda + c = 3 * (3x + 4) + 72 - 12
7. Distribute the 3 into (3x + 4):
bda + c = 9x + 12 + 72 - 12
8. Combine like terms:
bda + c = 9x + 72
So, the value of bda + c when a = -2, b = 3, c = -12, and d = (-3x - 4) / (-2) - 12 is 9x + 72.