You can use inverse operations to solve this inequality:
30 - 6a < -15 + -21
30 - 6a < -36
30 - 6a - 30 < -36 - 30
-6a < -66
-6a / -6 > -66/-6
a > 11
Remember when multiplying or dividing by a negative number, you need to reverse the inequality symbol. Here we divided both sides of the inequality by -6