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4x-52y-18z+1
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4x-52y-18z+1
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-34z+6z-7y+1-5\left(-2z+y\right)-4\left(-x+10y\right)
The opposite of -6z is 6z.
-28z-7y+1-5\left(-2z+y\right)-4\left(-x+10y\right)
Combine -34z and 6z to get -28z.
-28z-7y+1+10z-5y-4\left(-x+10y\right)
Use the distributive property to multiply -5 by -2z+y.
-18z-7y+1-5y-4\left(-x+10y\right)
Combine -28z and 10z to get -18z.
-18z-12y+1-4\left(-x+10y\right)
Combine -7y and -5y to get -12y.
-18z-12y+1-4\left(-x\right)-40y
Use the distributive property to multiply -4 by -x+10y.
-18z-12y+1+4x-40y
Multiply -4 and -1 to get 4.
-18z-52y+1+4x
Combine -12y and -40y to get -52y.
-34z+6z-7y+1-5\left(-2z+y\right)-4\left(-x+10y\right)
The opposite of -6z is 6z.
-28z-7y+1-5\left(-2z+y\right)-4\left(-x+10y\right)
Combine -34z and 6z to get -28z.
-28z-7y+1+10z-5y-4\left(-x+10y\right)
Use the distributive property to multiply -5 by -2z+y.
-18z-7y+1-5y-4\left(-x+10y\right)
Combine -28z and 10z to get -18z.
-18z-12y+1-4\left(-x+10y\right)
Combine -7y and -5y to get -12y.
-18z-12y+1-4\left(-x\right)-40y
Use the distributive property to multiply -4 by -x+10y.
-18z-12y+1+4x-40y
Multiply -4 and -1 to get 4.
-18z-52y+1+4x
Combine -12y and -40y to get -52y.
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}