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Simplifying -2(3w + y) + -6(2y + -4w) = 0 (3w * -2 + y * -2) + -6(2y + -4w) = 0 (-6w + -2y) + -6(2y + -4w) = 0 Reorder the terms: -6w + -2y + -6(-4w + 2y) = 0 -6w + -2y + (-4w * -6 + 2y * -6) = 0 -6w + -2y + (24w + -12y) = 0 Reorder the terms: -6w + 24w + -2y + -12y = 0 Combine like terms: -6w + 24w = 18w 18w + -2y + -12y = 0 Combine like terms: -2y + -12y = -14y 18w + -14y = 0 Solving 18w + -14y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14y' to each side of the equation. 18w + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 18w + 0 = 0 + 14y 18w = 0 + 14y Remove the zero: 18w = 14y Divide each side by '18'. w = 0.7777777778y Simplifying w = 0.7777777778y
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