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Simplifying -1(6x + -2y + -3z) = 0 (6x * -1 + -2y * -1 + -3z * -1) = 0 (-6x + 2y + 3z) = 0 Solving -6x + 2y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -6x + 2y + -2y + 3z = 0 + -2y Combine like terms: 2y + -2y = 0 -6x + 0 + 3z = 0 + -2y -6x + 3z = 0 + -2y Remove the zero: -6x + 3z = -2y Add '-3z' to each side of the equation. -6x + 3z + -3z = -2y + -3z Combine like terms: 3z + -3z = 0 -6x + 0 = -2y + -3z -6x = -2y + -3z Divide each side by '-6'. x = 0.3333333333y + 0.5z Simplifying x = 0.3333333333y + 0.5z
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