Final answer:
The correct answer, after simplifying the expression −9(7x−3)−16x+12, is actually −79x + 39, which is not listed among the options provided. None of the given options are correct.
Step-by-step explanation:
To simplify the given expression −9(7x−3)−16x+12, we need to distribute the −9 to both terms within the parentheses and then combine like terms.
- First, distribute the −9:
−9 × 7x = −63x
−9 × (−3) = +27 - Combine the distributed terms with the remaining expression:
−63x + 27 − 16x + 12 - Next, combine the x terms and the constant terms:
−63x − 16x = −79x
27 + 12 = 39 - Finally, combine these results: −79x + 39
What we find is that the term − 63x is present, but the second term involves adding 27 and 12 together, giving us 39, not 27. Therefore, option c with − 63x + 27 is incorrect, and the properly simplified expression is −79x + 39.