Solve the inequality 7d−12>−8d.

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

1. We have the inequality 7d - 12 > -8d.
2. The first step is to get all the terms with 'd' on one side of the inequality. We can do this by adding 8d to both sides of the inequality. This gives us 7d + 8d > -8d + 8d.
3. Simplifying both sides of the inequality gives us 15d - 12 > 0.
4. The next step is to isolate 'd' by getting rid of the '-12' on the left side of the inequality. We can do this by adding 12 to both sides of the inequality. This gives us 15d > 12.
5. Finally, to solve for 'd', we divide both sides of the inequality by 15. This gives us d > 12/15.
6. Simplifying the right side of the inequality gives us d > 0.8.

So, the solution to the inequality 7d - 12 > -8d is d > 0.8.