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7x-2y+21-5x-\left(-2y\right)-\left(-4z\right)+22x
To find the opposite of 5x-2y-4z, find the opposite of each term.
7x-2y+21-5x+2y-\left(-4z\right)+22x
The opposite of -2y is 2y.
7x-2y+21-5x+2y+4z+22x
The opposite of -4z is 4z.
2x-2y+21+2y+4z+22x
Combine 7x and -5x to get 2x.
2x+21+4z+22x
Combine -2y and 2y to get 0.
24x+21+4z
Combine 2x and 22x to get 24x.
7x-2y+21-5x-\left(-2y\right)-\left(-4z\right)+22x
To find the opposite of 5x-2y-4z, find the opposite of each term.
7x-2y+21-5x+2y-\left(-4z\right)+22x
The opposite of -2y is 2y.
7x-2y+21-5x+2y+4z+22x
The opposite of -4z is 4z.
2x-2y+21+2y+4z+22x
Combine 7x and -5x to get 2x.
2x+21+4z+22x
Combine -2y and 2y to get 0.
24x+21+4z
Combine 2x and 22x to get 24x.