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-15y-16z-\left(-12x\right)-\left(13x+20y\right)-\left(x+y+z\right)
To find the opposite of 15y+16z-12x, find the opposite of each term.
-15y-16z+12x-\left(13x+20y\right)-\left(x+y+z\right)
The opposite of -12x is 12x.
-15y-16z+12x-13x-20y-\left(x+y+z\right)
To find the opposite of 13x+20y, find the opposite of each term.
-15y-16z-x-20y-\left(x+y+z\right)
Combine 12x and -13x to get -x.
-35y-16z-x-\left(x+y+z\right)
Combine -15y and -20y to get -35y.
-35y-16z-x-x-y-z
To find the opposite of x+y+z, find the opposite of each term.
-35y-16z-2x-y-z
Combine -x and -x to get -2x.
-36y-16z-2x-z
Combine -35y and -y to get -36y.
-36y-17z-2x
Combine -16z and -z to get -17z.
-15y-16z-\left(-12x\right)-\left(13x+20y\right)-\left(x+y+z\right)
To find the opposite of 15y+16z-12x, find the opposite of each term.
-15y-16z+12x-\left(13x+20y\right)-\left(x+y+z\right)
The opposite of -12x is 12x.
-15y-16z+12x-13x-20y-\left(x+y+z\right)
To find the opposite of 13x+20y, find the opposite of each term.
-15y-16z-x-20y-\left(x+y+z\right)
Combine 12x and -13x to get -x.
-35y-16z-x-\left(x+y+z\right)
Combine -15y and -20y to get -35y.
-35y-16z-x-x-y-z
To find the opposite of x+y+z, find the opposite of each term.
-35y-16z-2x-y-z
Combine -x and -x to get -2x.
-36y-16z-2x-z
Combine -35y and -y to get -36y.
-36y-17z-2x
Combine -16z and -z to get -17z.