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EXPLANATION: There are two ways to SOLVE this question. The FASTER way is to multiply each side of the given equation by ax−2 (so you can GET rid of the fraction). When you multiply each side by ax−2, you should have:

➡24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

➡24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce on the right side of the equation

➡24x2+25x−47=−8ax2−3ax+16x−47

Since the COEFFICIENTS of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

➡The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not RECOMMEND it for the actual SAT as it will waste too much time.

➡➡The final answer is B



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