In order to simplify 5(2c - 3d) - 4(12d+ 6) we would make the following:
First Apply the distributive law to expand both 5(2c - 3d) and - 4(12d+ 6) as follows:
So, for 5(2c - 3d) would be:
5(2c - 3d)=10c -15d
for - 4(12d+ 6) would be:
-48d -24
So you would get 10c -15d -48d -24
Finally you would have to add the similar elements:
10c -15d -48d -24
10c -63d -24
Therefore, 5(2c - 3d) - 4(12d+ 6) simplified would be 10c -63d -24