-2(3w+6x-10y+2xy)-4(-10w-5x+7y-5xy)=

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Solution for -2(3w+6x-10y+2xy)-4(-10w-5x+7y-5xy)= equation:


Simplifying
-2(3w + 6x + -10y + 2xy) + -4(-10w + -5x + 7y + -5xy) = 0

Reorder the terms:
-2(3w + 6x + 2xy + -10y) + -4(-10w + -5x + 7y + -5xy) = 0
(3w * -2 + 6x * -2 + 2xy * -2 + -10y * -2) + -4(-10w + -5x + 7y + -5xy) = 0
(-6w + -12x + -4xy + 20y) + -4(-10w + -5x + 7y + -5xy) = 0

Reorder the terms:
-6w + -12x + -4xy + 20y + -4(-10w + -5x + -5xy + 7y) = 0
-6w + -12x + -4xy + 20y + (-10w * -4 + -5x * -4 + -5xy * -4 + 7y * -4) = 0
-6w + -12x + -4xy + 20y + (40w + 20x + 20xy + -28y) = 0

Reorder the terms:
-6w + 40w + -12x + 20x + -4xy + 20xy + 20y + -28y = 0

Combine like terms: -6w + 40w = 34w
34w + -12x + 20x + -4xy + 20xy + 20y + -28y = 0

Combine like terms: -12x + 20x = 8x
34w + 8x + -4xy + 20xy + 20y + -28y = 0

Combine like terms: -4xy + 20xy = 16xy
34w + 8x + 16xy + 20y + -28y = 0

Combine like terms: 20y + -28y = -8y
34w + 8x + 16xy + -8y = 0

Solving
34w + 8x + 16xy + -8y = 0

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-8x' to each side of the equation.
34w + 8x + 16xy + -8x + -8y = 0 + -8x

Reorder the terms:
34w + 8x + -8x + 16xy + -8y = 0 + -8x

Combine like terms: 8x + -8x = 0
34w + 0 + 16xy + -8y = 0 + -8x
34w + 16xy + -8y = 0 + -8x
Remove the zero:
34w + 16xy + -8y = -8x

Add '-16xy' to each side of the equation.
34w + 16xy + -16xy + -8y = -8x + -16xy

Combine like terms: 16xy + -16xy = 0
34w + 0 + -8y = -8x + -16xy
34w + -8y = -8x + -16xy

Add '8y' to each side of the equation.
34w + -8y + 8y = -8x + -16xy + 8y

Combine like terms: -8y + 8y = 0
34w + 0 = -8x + -16xy + 8y
34w = -8x + -16xy + 8y

Divide each side by '34'.
w = -0.2352941176x + -0.4705882353xy + 0.2352941176y

Simplifying
w = -0.2352941176x + -0.4705882353xy + 0.2352941176y

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