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4z+4y-6x
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4z+4y-6x
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2x+2\left(y-\left(4x-z-2y\right)+z\right)-2y
To find the opposite of z+2y, find the opposite of each term.
2x+2\left(y-4x-\left(-z\right)-\left(-2y\right)+z\right)-2y
To find the opposite of 4x-z-2y, find the opposite of each term.
2x+2\left(y-4x+z-\left(-2y\right)+z\right)-2y
The opposite of -z is z.
2x+2\left(y-4x+z+2y+z\right)-2y
The opposite of -2y is 2y.
2x+2\left(3y-4x+z+z\right)-2y
Combine y and 2y to get 3y.
2x+2\left(3y-4x+2z\right)-2y
Combine z and z to get 2z.
2x+6y-8x+4z-2y
Use the distributive property to multiply 2 by 3y-4x+2z.
-6x+6y+4z-2y
Combine 2x and -8x to get -6x.
-6x+4y+4z
Combine 6y and -2y to get 4y.
2x+2\left(y-\left(4x-z-2y\right)+z\right)-2y
To find the opposite of z+2y, find the opposite of each term.
2x+2\left(y-4x-\left(-z\right)-\left(-2y\right)+z\right)-2y
To find the opposite of 4x-z-2y, find the opposite of each term.
2x+2\left(y-4x+z-\left(-2y\right)+z\right)-2y
The opposite of -z is z.
2x+2\left(y-4x+z+2y+z\right)-2y
The opposite of -2y is 2y.
2x+2\left(3y-4x+z+z\right)-2y
Combine y and 2y to get 3y.
2x+2\left(3y-4x+2z\right)-2y
Combine z and z to get 2z.
2x+6y-8x+4z-2y
Use the distributive property to multiply 2 by 3y-4x+2z.
-6x+6y+4z-2y
Combine 2x and -8x to get -6x.
-6x+4y+4z
Combine 6y and -2y to get 4y.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}