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Simplifying 3(3x + y + -2z) = 0 (3x * 3 + y * 3 + -2z * 3) = 0 (9x + 3y + -6z) = 0 Solving 9x + 3y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 9x + 3y + -3y + -6z = 0 + -3y Combine like terms: 3y + -3y = 0 9x + 0 + -6z = 0 + -3y 9x + -6z = 0 + -3y Remove the zero: 9x + -6z = -3y Add '6z' to each side of the equation. 9x + -6z + 6z = -3y + 6z Combine like terms: -6z + 6z = 0 9x + 0 = -3y + 6z 9x = -3y + 6z Divide each side by '9'. x = -0.3333333333y + 0.6666666667z Simplifying x = -0.3333333333y + 0.6666666667z
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