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3n_{2}-2x+5m-\left(-3x\right)-5m-\left(-3n_{2}\right)
To find the opposite of -3x+5m-3n_{2}, find the opposite of each term.
3n_{2}-2x+5m+3x-5m-\left(-3n_{2}\right)
The opposite of -3x is 3x.
3n_{2}-2x+5m+3x-5m+3n_{2}
The opposite of -3n_{2} is 3n_{2}.
3n_{2}+x+5m-5m+3n_{2}
Combine -2x and 3x to get x.
3n_{2}+x+3n_{2}
Combine 5m and -5m to get 0.
6n_{2}+x
Combine 3n_{2} and 3n_{2} to get 6n_{2}.
3n_{2}-2x+5m-\left(-3x\right)-5m-\left(-3n_{2}\right)
To find the opposite of -3x+5m-3n_{2}, find the opposite of each term.
3n_{2}-2x+5m+3x-5m-\left(-3n_{2}\right)
The opposite of -3x is 3x.
3n_{2}-2x+5m+3x-5m+3n_{2}
The opposite of -3n_{2} is 3n_{2}.
3n_{2}+x+5m-5m+3n_{2}
Combine -2x and 3x to get x.
3n_{2}+x+3n_{2}
Combine 5m and -5m to get 0.
6n_{2}+x
Combine 3n_{2} and 3n_{2} to get 6n_{2}.