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Simplifying -1(6x + -5y + -2z) = 0 (6x * -1 + -5y * -1 + -2z * -1) = 0 (-6x + 5y + 2z) = 0 Solving -6x + 5y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -6x + 5y + -5y + 2z = 0 + -5y Combine like terms: 5y + -5y = 0 -6x + 0 + 2z = 0 + -5y -6x + 2z = 0 + -5y Remove the zero: -6x + 2z = -5y Add '-2z' to each side of the equation. -6x + 2z + -2z = -5y + -2z Combine like terms: 2z + -2z = 0 -6x + 0 = -5y + -2z -6x = -5y + -2z Divide each side by '-6'. x = 0.8333333333y + 0.3333333333z Simplifying x = 0.8333333333y + 0.3333333333z
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