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Simplifying -10(6x + -4y + 2z) = 0 (6x * -10 + -4y * -10 + 2z * -10) = 0 (-60x + 40y + -20z) = 0 Solving -60x + 40y + -20z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. -60x + 40y + -40y + -20z = 0 + -40y Combine like terms: 40y + -40y = 0 -60x + 0 + -20z = 0 + -40y -60x + -20z = 0 + -40y Remove the zero: -60x + -20z = -40y Add '20z' to each side of the equation. -60x + -20z + 20z = -40y + 20z Combine like terms: -20z + 20z = 0 -60x + 0 = -40y + 20z -60x = -40y + 20z Divide each side by '-60'. x = 0.6666666667y + -0.3333333333z Simplifying x = 0.6666666667y + -0.3333333333z
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