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Simplifying 6y + 3x + 4y + 5z = 0 Reorder the terms: 3x + 6y + 4y + 5z = 0 Combine like terms: 6y + 4y = 10y 3x + 10y + 5z = 0 Solving 3x + 10y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 3x + 10y + -10y + 5z = 0 + -10y Combine like terms: 10y + -10y = 0 3x + 0 + 5z = 0 + -10y 3x + 5z = 0 + -10y Remove the zero: 3x + 5z = -10y Add '-5z' to each side of the equation. 3x + 5z + -5z = -10y + -5z Combine like terms: 5z + -5z = 0 3x + 0 = -10y + -5z 3x = -10y + -5z Divide each side by '3'. x = -3.333333333y + -1.666666667z Simplifying x = -3.333333333y + -1.666666667z
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