How do i find the solution set?

Question

6(r-9)+3 > 7(r+3)-22.

Answer 1

6(r - 9) + 3 > 7(r + 3) - 22

6r - 54 + 3 > 7r + 21 - 22

6r - 51 > 7r - 1

Add 51 to each side.

6r - 51 + 51 > 7r - 1 + 51

6r  > 7r + 50

Subtract 7r  from each side.

6r - 7r  > 7r - 7r + 50

- r  > 50

Multiply each side by negative one and flip the symbol.

Solution r  < - 50.