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Simplifying 3X + 12Y + Z = 0 Solving 3X + 12Y + Z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12Y' to each side of the equation. 3X + 12Y + -12Y + Z = 0 + -12Y Combine like terms: 12Y + -12Y = 0 3X + 0 + Z = 0 + -12Y 3X + Z = 0 + -12Y Remove the zero: 3X + Z = -12Y Add '-1Z' to each side of the equation. 3X + Z + -1Z = -12Y + -1Z Combine like terms: Z + -1Z = 0 3X + 0 = -12Y + -1Z 3X = -12Y + -1Z Divide each side by '3'. X = -4Y + -0.3333333333Z Simplifying X = -4Y + -0.3333333333Z
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