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Simplifying (3w + 6x + -10xy) + -1(-10w + -5x + 7y + -2xy) + (8w + -2x + 5y + -8) = 0 Remove parenthesis around (3w + 6x + -10xy) 3w + 6x + -10xy + -1(-10w + -5x + 7y + -2xy) + (8w + -2x + 5y + -8) = 0 Reorder the terms: 3w + 6x + -10xy + -1(-10w + -5x + -2xy + 7y) + (8w + -2x + 5y + -8) = 0 3w + 6x + -10xy + (-10w * -1 + -5x * -1 + -2xy * -1 + 7y * -1) + (8w + -2x + 5y + -8) = 0 3w + 6x + -10xy + (10w + 5x + 2xy + -7y) + (8w + -2x + 5y + -8) = 0 Reorder the terms: 3w + 6x + -10xy + 10w + 5x + 2xy + -7y + (-8 + 8w + -2x + 5y) = 0 Remove parenthesis around (-8 + 8w + -2x + 5y) 3w + 6x + -10xy + 10w + 5x + 2xy + -7y + -8 + 8w + -2x + 5y = 0 Reorder the terms: -8 + 3w + 10w + 8w + 6x + 5x + -2x + -10xy + 2xy + -7y + 5y = 0 Combine like terms: 3w + 10w = 13w -8 + 13w + 8w + 6x + 5x + -2x + -10xy + 2xy + -7y + 5y = 0 Combine like terms: 13w + 8w = 21w -8 + 21w + 6x + 5x + -2x + -10xy + 2xy + -7y + 5y = 0 Combine like terms: 6x + 5x = 11x -8 + 21w + 11x + -2x + -10xy + 2xy + -7y + 5y = 0 Combine like terms: 11x + -2x = 9x -8 + 21w + 9x + -10xy + 2xy + -7y + 5y = 0 Combine like terms: -10xy + 2xy = -8xy -8 + 21w + 9x + -8xy + -7y + 5y = 0 Combine like terms: -7y + 5y = -2y -8 + 21w + 9x + -8xy + -2y = 0 Solving -8 + 21w + 9x + -8xy + -2y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 21w + 9x + -8xy + 8 + -2y = 0 + 8 Reorder the terms: -8 + 8 + 21w + 9x + -8xy + -2y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 21w + 9x + -8xy + -2y = 0 + 8 21w + 9x + -8xy + -2y = 0 + 8 Combine like terms: 0 + 8 = 8 21w + 9x + -8xy + -2y = 8 Add '-9x' to each side of the equation. 21w + 9x + -8xy + -9x + -2y = 8 + -9x Reorder the terms: 21w + 9x + -9x + -8xy + -2y = 8 + -9x Combine like terms: 9x + -9x = 0 21w + 0 + -8xy + -2y = 8 + -9x 21w + -8xy + -2y = 8 + -9x Add '8xy' to each side of the equation. 21w + -8xy + 8xy + -2y = 8 + -9x + 8xy Combine like terms: -8xy + 8xy = 0 21w + 0 + -2y = 8 + -9x + 8xy 21w + -2y = 8 + -9x + 8xy Add '2y' to each side of the equation. 21w + -2y + 2y = 8 + -9x + 8xy + 2y Combine like terms: -2y + 2y = 0 21w + 0 = 8 + -9x + 8xy + 2y 21w = 8 + -9x + 8xy + 2y Divide each side by '21'. w = 0.380952381 + -0.4285714286x + 0.380952381xy + 0.09523809524y Simplifying w = 0.380952381 + -0.4285714286x + 0.380952381xy + 0.09523809524y
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