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Simplifying 9x + 5y + 4z + -5x + 3z + -8y = 0 Reorder the terms: 9x + -5x + 5y + -8y + 4z + 3z = 0 Combine like terms: 9x + -5x = 4x 4x + 5y + -8y + 4z + 3z = 0 Combine like terms: 5y + -8y = -3y 4x + -3y + 4z + 3z = 0 Combine like terms: 4z + 3z = 7z 4x + -3y + 7z = 0 Solving 4x + -3y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x + -3y + 3y + 7z = 0 + 3y Combine like terms: -3y + 3y = 0 4x + 0 + 7z = 0 + 3y 4x + 7z = 0 + 3y Remove the zero: 4x + 7z = 3y Add '-7z' to each side of the equation. 4x + 7z + -7z = 3y + -7z Combine like terms: 7z + -7z = 0 4x + 0 = 3y + -7z 4x = 3y + -7z Divide each side by '4'. x = 0.75y + -1.75z Simplifying x = 0.75y + -1.75z
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