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Simplifying -13(9X + -6Y + 2Z) = 0 (9X * -13 + -6Y * -13 + 2Z * -13) = 0 (-117X + 78Y + -26Z) = 0 Solving -117X + 78Y + -26Z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-78Y' to each side of the equation. -117X + 78Y + -78Y + -26Z = 0 + -78Y Combine like terms: 78Y + -78Y = 0 -117X + 0 + -26Z = 0 + -78Y -117X + -26Z = 0 + -78Y Remove the zero: -117X + -26Z = -78Y Add '26Z' to each side of the equation. -117X + -26Z + 26Z = -78Y + 26Z Combine like terms: -26Z + 26Z = 0 -117X + 0 = -78Y + 26Z -117X = -78Y + 26Z Divide each side by '-117'. X = 0.6666666667Y + -0.2222222222Z Simplifying X = 0.6666666667Y + -0.2222222222Z
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