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Simplifying -4(8x + -3y + 9z) + 2(x + -2y + 9z) = 0 (8x * -4 + -3y * -4 + 9z * -4) + 2(x + -2y + 9z) = 0 (-32x + 12y + -36z) + 2(x + -2y + 9z) = 0 -32x + 12y + -36z + (x * 2 + -2y * 2 + 9z * 2) = 0 -32x + 12y + -36z + (2x + -4y + 18z) = 0 Reorder the terms: -32x + 2x + 12y + -4y + -36z + 18z = 0 Combine like terms: -32x + 2x = -30x -30x + 12y + -4y + -36z + 18z = 0 Combine like terms: 12y + -4y = 8y -30x + 8y + -36z + 18z = 0 Combine like terms: -36z + 18z = -18z -30x + 8y + -18z = 0 Solving -30x + 8y + -18z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -30x + 8y + -8y + -18z = 0 + -8y Combine like terms: 8y + -8y = 0 -30x + 0 + -18z = 0 + -8y -30x + -18z = 0 + -8y Remove the zero: -30x + -18z = -8y Add '18z' to each side of the equation. -30x + -18z + 18z = -8y + 18z Combine like terms: -18z + 18z = 0 -30x + 0 = -8y + 18z -30x = -8y + 18z Divide each side by '-30'. x = 0.2666666667y + -0.6z Simplifying x = 0.2666666667y + -0.6z
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