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Simplifying 6x + 15y + 20z = 0 Solving 6x + 15y + 20z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 6x + 15y + -15y + 20z = 0 + -15y Combine like terms: 15y + -15y = 0 6x + 0 + 20z = 0 + -15y 6x + 20z = 0 + -15y Remove the zero: 6x + 20z = -15y Add '-20z' to each side of the equation. 6x + 20z + -20z = -15y + -20z Combine like terms: 20z + -20z = 0 6x + 0 = -15y + -20z 6x = -15y + -20z Divide each side by '6'. x = -2.5y + -3.333333333z Simplifying x = -2.5y + -3.333333333z
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