Final answer:
The simplified form of the expression 3(4 + 4) - 2(1 - 12) is 46, after performing the distributive property and combining like terms. None of the provided options (A, B, C, D) match this correct answer.
Step-by-step explanation:
The simplified form of the expression 3(4 + 4) – 2(1 - 12) can be found using the distributive property and combining like terms. First, distribute the 3 and the -2 inside their respective parentheses:
- 3(4 + 4) becomes 3×4 + 3×4, which simplifies to 12 + 12.
- -2(1 - 12) becomes -2×1 + -2×-12, which simplifies to -2 + 24 (because multiplying two negatives gives a positive).
Combining the like terms:
- 12 + 12 is 24.
- -2 + 24 is 22.
So, the simplified expression is 24 + 22, which equals 46. However, this value doesn't match any of the provided options (A. 66, B. -24, C. -18, D. 78). Thus, we seem to have an error in the options, as none of them are correct answers to the given expression.