Final answer:
After distributing -2 to each term and combining like terms, the expression simplifies to 28x + 8y + 2, which is not listed in the provided options. There might be an error in the given problem or answer choices.
Step-by-step explanation:
To simplify the expression -2(3x+12y-5-17x-16y+4), first distribute the -2 to each term inside the parentheses:
- -2 × 3x = -6x
- -2 × 12y = -24y
- -2 × (-5) = +10
- -2 × (-17x) = +34x
- -2 × (-16y) = +32y
- -2 × 4 = -8
Combine like terms:
- -6x + 34x = 28x
- -24y + 32y = 8y
- 10 - 8 = 2
So, the expression simplifies to 28x + 8y + 2, which is not one of the options provided. It appears there may be a mistake in the options or in the initial problem statement. Please double-check the original expression and the answer options.