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Simplifying 8z + 2y + 9z + -3x + 5z + -3y = 0 Reorder the terms: -3x + 2y + -3y + 8z + 9z + 5z = 0 Combine like terms: 2y + -3y = -1y -3x + -1y + 8z + 9z + 5z = 0 Combine like terms: 8z + 9z = 17z -3x + -1y + 17z + 5z = 0 Combine like terms: 17z + 5z = 22z -3x + -1y + 22z = 0 Solving -3x + -1y + 22z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -3x + -1y + y + 22z = 0 + y Combine like terms: -1y + y = 0 -3x + 0 + 22z = 0 + y -3x + 22z = 0 + y Remove the zero: -3x + 22z = y Add '-22z' to each side of the equation. -3x + 22z + -22z = y + -22z Combine like terms: 22z + -22z = 0 -3x + 0 = y + -22z -3x = y + -22z Divide each side by '-3'. x = -0.3333333333y + 7.333333333z Simplifying x = -0.3333333333y + 7.333333333z
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