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Simplifying 8x + 2y + 5z + -3x + 3z + -4y = 0 Reorder the terms: 8x + -3x + 2y + -4y + 5z + 3z = 0 Combine like terms: 8x + -3x = 5x 5x + 2y + -4y + 5z + 3z = 0 Combine like terms: 2y + -4y = -2y 5x + -2y + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z 5x + -2y + 8z = 0 Solving 5x + -2y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y + 8z = 0 + 2y Combine like terms: -2y + 2y = 0 5x + 0 + 8z = 0 + 2y 5x + 8z = 0 + 2y Remove the zero: 5x + 8z = 2y Add '-8z' to each side of the equation. 5x + 8z + -8z = 2y + -8z Combine like terms: 8z + -8z = 0 5x + 0 = 2y + -8z 5x = 2y + -8z Divide each side by '5'. x = 0.4y + -1.6z Simplifying x = 0.4y + -1.6z
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