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4c^{2}-3a-1-5c^{2}-\left(6a-7\right)
To find the opposite of 3a+1, find the opposite of each term.
-c^{2}-3a-1-\left(6a-7\right)
Combine 4c^{2} and -5c^{2} to get -c^{2}.
-c^{2}-3a-1-6a+7
To find the opposite of 6a-7, find the opposite of each term.
-c^{2}-9a-1+7
Combine -3a and -6a to get -9a.
-c^{2}-9a+6
Add -1 and 7 to get 6.
4c^{2}-3a-1-5c^{2}-\left(6a-7\right)
To find the opposite of 3a+1, find the opposite of each term.
-c^{2}-3a-1-\left(6a-7\right)
Combine 4c^{2} and -5c^{2} to get -c^{2}.
-c^{2}-3a-1-6a+7
To find the opposite of 6a-7, find the opposite of each term.
-c^{2}-9a-1+7
Combine -3a and -6a to get -9a.
-c^{2}-9a+6
Add -1 and 7 to get 6.