a − 15 > −4(−6 + 3a)

Sure, let's solve the inequality step by step:

1. First, distribute the -4 in the right side of the inequality: -4*(-6) + -4*3a = 24 - 12a.

2. So, the inequality becomes: a - 15 > 24 - 12a.

3. Next, add 12a to both sides to get all the 'a' terms on one side: 13a - 15 > 24.

4. Then, add 15 to both sides to isolate the 'a' term: 13a > 39.

5. Finally, divide both sides by 13 to solve for 'a': a > 3.

So, the solution to the inequality a - 15 > -4(-6 + 3a) is a > 3.