Final answer:
To simplify the expression, distribute and combine like terms in the numerator, then cancel out the common factor in the fraction.
Step-by-step explanation:
To simplify the expression −3r(−12r+4r−16)/(24r²+48r), we can first simplify the terms within the parentheses: −12r+4r−16 simplifies to -8r-16. Now, our expression becomes -3r(-8r-16)/(24r²+48r). Next, we can distribute -3r to both terms inside the parentheses to get 24r²+48r+48r²+96r. Combining like terms, we have 72r²+144r. Finally, we can cancel out a common factor of 24r from the numerator and denominator, leaving us with 3r+6.