Final answer:
To simplify the expression -2r(-13r+5r-12), multiply -2r by each term inside the parentheses and then combine like terms to get the simplified form 16r^2 + 24r.
Step-by-step explanation:
To simplify the expression -2r(-13r+5r-12), we can multiply -2r by each term inside the parentheses. This gives us:
-2r(-13r) + (-2r)(5r) + (-2r)(-12)
This further simplifies to:
26r^2 - 10r^2 + 24r
Combining like terms, we get:
16r^2 + 24r