Final answer:
To solve the equation 0.5(-6 - 4d) - 2d = -11 for d, distribute the 0.5 through the parentheses, combine like terms, and solve for d.
Step-by-step explanation:
To solve the equation 0.5(-6 - 4d) - 2d = -11 for d, we first distribute the 0.5 through the parentheses:
-3 - 2d - 2d = -11
Combine like terms:
-3 - 4d = -11
Add 3 to both sides:
-4d = -8
Divide both sides by -4 to solve for d:
d = 2
Therefore, the solution to the equation is d = 2. Option 4: Infinite solutions is not a valid solution for this equation.