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Simplifying 3(3x + -8y + 6z) = 0 (3x * 3 + -8y * 3 + 6z * 3) = 0 (9x + -24y + 18z) = 0 Solving 9x + -24y + 18z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. 9x + -24y + 24y + 18z = 0 + 24y Combine like terms: -24y + 24y = 0 9x + 0 + 18z = 0 + 24y 9x + 18z = 0 + 24y Remove the zero: 9x + 18z = 24y Add '-18z' to each side of the equation. 9x + 18z + -18z = 24y + -18z Combine like terms: 18z + -18z = 0 9x + 0 = 24y + -18z 9x = 24y + -18z Divide each side by '9'. x = 2.666666667y + -2z Simplifying x = 2.666666667y + -2z
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