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Simplifying y(5x + 12z) = 0 (5x * y + 12z * y) = 0 (5xy + 12yz) = 0 Solving 5xy + 12yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12yz' to each side of the equation. 5xy + 12yz + -12yz = 0 + -12yz Combine like terms: 12yz + -12yz = 0 5xy + 0 = 0 + -12yz 5xy = 0 + -12yz Remove the zero: 5xy = -12yz Divide each side by '5y'. x = -2.4z Simplifying x = -2.4z
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