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16a-13b+10c-12a-\left(-18b\right)-\left(-10c\right)+20a-30b+15c
To find the opposite of 12a-18b-10c, find the opposite of each term.
16a-13b+10c-12a+18b-\left(-10c\right)+20a-30b+15c
The opposite of -18b is 18b.
16a-13b+10c-12a+18b+10c+20a-30b+15c
The opposite of -10c is 10c.
4a-13b+10c+18b+10c+20a-30b+15c
Combine 16a and -12a to get 4a.
4a+5b+10c+10c+20a-30b+15c
Combine -13b and 18b to get 5b.
4a+5b+20c+20a-30b+15c
Combine 10c and 10c to get 20c.
24a+5b+20c-30b+15c
Combine 4a and 20a to get 24a.
24a-25b+20c+15c
Combine 5b and -30b to get -25b.
24a-25b+35c
Combine 20c and 15c to get 35c.
16a-13b+10c-12a-\left(-18b\right)-\left(-10c\right)+20a-30b+15c
To find the opposite of 12a-18b-10c, find the opposite of each term.
16a-13b+10c-12a+18b-\left(-10c\right)+20a-30b+15c
The opposite of -18b is 18b.
16a-13b+10c-12a+18b+10c+20a-30b+15c
The opposite of -10c is 10c.
4a-13b+10c+18b+10c+20a-30b+15c
Combine 16a and -12a to get 4a.
4a+5b+10c+10c+20a-30b+15c
Combine -13b and 18b to get 5b.
4a+5b+20c+20a-30b+15c
Combine 10c and 10c to get 20c.
24a+5b+20c-30b+15c
Combine 4a and 20a to get 24a.
24a-25b+20c+15c
Combine 5b and -30b to get -25b.
24a-25b+35c
Combine 20c and 15c to get 35c.