Solve 3(-1(3(-x-y-z)+2(2x-3y-2z)+4)

$$3(-1(3(-x-y-z)+2(2x-3y-2z)+4)$$

Evaluate

$$-3x+27y+21z-12$$

Solution Steps

Multiply 3 and -1 to get -3.

$$-3\left(3\left(-x-y-z\right)+2\left(2x-3y-2z\right)+4\right)$$

Use the distributive property to multiply 3 by -x-y-z.

$$-3\left(3\left(-x\right)-3y-3z+2\left(2x-3y-2z\right)+4\right)$$

Use the distributive property to multiply 2 by 2x-3y-2z.

$$-3\left(3\left(-x\right)-3y-3z+4x-6y-4z+4\right)$$

Combine -3y and -6y to get -9y.

$$-3\left(3\left(-x\right)-9y-3z+4x-4z+4\right)$$

Combine -3z and -4z to get -7z.

$$-3\left(3\left(-x\right)-9y-7z+4x+4\right)$$

Use the distributive property to multiply -3 by 3\left(-x\right)-9y-7z+4x+4.

$$-9\left(-x\right)+27y+21z-12x-12$$

Multiply -9 and -1 to get 9.

$$9x+27y+21z-12x-12$$

Combine 9x and -12x to get -3x.

$$-3x+27y+21z-12$$

Expand

$$-3x+27y+21z-12$$

Solution Steps

Multiply 3 and -1 to get -3.

$$-3\left(3\left(-x-y-z\right)+2\left(2x-3y-2z\right)+4\right)$$

Use the distributive property to multiply 3 by -x-y-z.

$$-3\left(3\left(-x\right)-3y-3z+2\left(2x-3y-2z\right)+4\right)$$

Use the distributive property to multiply 2 by 2x-3y-2z.

$$-3\left(3\left(-x\right)-3y-3z+4x-6y-4z+4\right)$$

Combine -3y and -6y to get -9y.

$$-3\left(3\left(-x\right)-9y-3z+4x-4z+4\right)$$

Combine -3z and -4z to get -7z.

$$-3\left(3\left(-x\right)-9y-7z+4x+4\right)$$

Use the distributive property to multiply -3 by 3\left(-x\right)-9y-7z+4x+4.

$$-9\left(-x\right)+27y+21z-12x-12$$

Multiply -9 and -1 to get 9.

$$9x+27y+21z-12x-12$$

Combine 9x and -12x to get -3x.

$$-3x+27y+21z-12$$