-5n - 6x < 8 - 8n - n
Simplify each side:
-11n < 8 - 9n
Add 9n to both sides:
-2n < 8
Divide both sides by -2 -- when you multiply or divide both sides of an inequation by a negative number you need to change the direction of the inequality (you don't change the direction if you multiply or divide by a positive number or if you add or subtract any values):
n > -4
-5n - 6x < 8 - 8n - n
Simplify each side:
-11n < 8 - 9n
Add 9n to both sides:
-2n < 8
Divide both sides by -2 -- when you multiply or divide both sides of an inequation by a negative number you need to change the direction of the inequality (you don't change the direction if you multiply or divide by a positive number or if you add or subtract any values):
n > -4