Final answer:
To make the expression -2r - 8 - 16 equal to 14, the missing term is 2r + 38, since adding this to the initial expression results in 14 when simplifying.
Step-by-step explanation:
The student is asking for the missing term that, when added to the expression -2r - 8 - 16, will make it equal to 14. To find this term, we need to combine the constants in the given expression and then solve for the term that would make the total equal to 14.
First, we combine -8 and -16 to get -24. The expression now becomes -2r - 24. To make this expression equal to 14, we need to add a term that will balance the equation:
-2r - 24 + Missing Term = 14
To solve for the Missing Term, we add 24 to both sides of the equation:
-2r + Missing Term = 14 + 24
-2r + Missing Term = 38
The missing term equals 2r + 38, which, when added to -2r - 24, results in 14, as the -2r and 2r cancel each other out.