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3\left(2-5m\right)-\left(3+4m\right)
Divide each term of 12m+9 by 3 to get 3+4m.
3\left(2-5m\right)-3-4m
To find the opposite of 3+4m, find the opposite of each term.
6-15m-3-4m
Use the distributive property to multiply 3 by 2-5m.
3-15m-4m
Subtract 3 from 6 to get 3.
3-19m
Combine -15m and -4m to get -19m.
3\left(2-5m\right)-\left(3+4m\right)
Divide each term of 12m+9 by 3 to get 3+4m.
3\left(2-5m\right)-3-4m
To find the opposite of 3+4m, find the opposite of each term.
6-15m-3-4m
Use the distributive property to multiply 3 by 2-5m.
3-15m-4m
Subtract 3 from 6 to get 3.
3-19m
Combine -15m and -4m to get -19m.