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Simplifying 6(3x + -4y + 8z) = 0 (3x * 6 + -4y * 6 + 8z * 6) = 0 (18x + -24y + 48z) = 0 Solving 18x + -24y + 48z = 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. 18x + -24y + 24y + 48z = 0 + 24y Combine like terms: -24y + 24y = 0 18x + 0 + 48z = 0 + 24y 18x + 48z = 0 + 24y Remove the zero: 18x + 48z = 24y Add '-48z' to each side of the equation. 18x + 48z + -48z = 24y + -48z Combine like terms: 48z + -48z = 0 18x + 0 = 24y + -48z 18x = 24y + -48z Divide each side by '18'. x = 1.333333333y + -2.666666667z Simplifying x = 1.333333333y + -2.666666667z
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