Final answer:
The algebraic expression is simplified by eliminating parentheses, combining like terms, and writing the terms with a common denominator. The correct answer is (D) 11/24r - 8.
Step-by-step explanation:
The problem involves simplifying an algebraic expression with parentheses and combining like terms. The given expression is:
[-1/8r - 5 - 1/6r]-[-6/8r + 3]
To simplify, first eliminate the parentheses and then combine like terms. The negative sign in front of the second set of parentheses changes the signs of the terms inside:
-1/8r - 5 - 1/6r + 6/8r - 3
Rewrite the r terms with a common denominator:
-3/24r - 5 - 4/24r + 18/24r - 3
Combine the r terms:
(-3 - 4 + 18)/24r - 5 - 3
11/24r - 8
The correct answer is (D) 11/24r + (-8).