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Simplifying 4X + 3y + 12z = 0 Solving 4X + 3y + 12z = 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 + 12z = 0 + -3y Combine like terms: 3y + -3y = 0 4X + 0 + 12z = 0 + -3y 4X + 12z = 0 + -3y Remove the zero: 4X + 12z = -3y Add '-12z' to each side of the equation. 4X + 12z + -12z = -3y + -12z Combine like terms: 12z + -12z = 0 4X + 0 = -3y + -12z 4X = -3y + -12z Divide each side by '4'. X = -0.75y + -3z Simplifying X = -0.75y + -3z
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