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Simplifying 2x + 3y + -4z + 5y + z = 0 Reorder the terms: 2x + 3y + 5y + -4z + z = 0 Combine like terms: 3y + 5y = 8y 2x + 8y + -4z + z = 0 Combine like terms: -4z + z = -3z 2x + 8y + -3z = 0 Solving 2x + 8y + -3z = 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. 2x + 8y + -8y + -3z = 0 + -8y Combine like terms: 8y + -8y = 0 2x + 0 + -3z = 0 + -8y 2x + -3z = 0 + -8y Remove the zero: 2x + -3z = -8y Add '3z' to each side of the equation. 2x + -3z + 3z = -8y + 3z Combine like terms: -3z + 3z = 0 2x + 0 = -8y + 3z 2x = -8y + 3z Divide each side by '2'. x = -4y + 1.5z Simplifying x = -4y + 1.5z
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