Final answer:
To solve for n in the equation -4(-3n - 8) = 10n + 20, simplify both sides of the equation, isolate the variable n, and solve for n.
Step-by-step explanation:
To solve for n in the equation -4(-3n - 8) = 10n + 20, we can start by simplifying both sides of the equation. Distribute the -4 to -3n and -8 to get 12n + 32. The equation then becomes 12n + 32 = 10n + 20. Next, we can isolate the variable n by subtracting 10n from both sides of the equation, resulting in 2n + 32 = 20. Finally, subtract 32 from both sides to get 2n = -12. Dividing both sides by 2 gives us the solution: n = -6.