4(1.5c+6)+-2c=-9

Alrighty.

4(1.5c+6)-2c=-9.

Distribute the 4.
6c+24-2c=-9.

Undo the adding by subtracting 24 from both sides.
6c-2c=-33

Combine c's.
4c=-33.

Divide by 4.
c=(-33/4)