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Simplifying 12X + 3Y + -1Z = 0 Solving 12X + 3Y + -1Z = 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. 12X + 3Y + -3Y + -1Z = 0 + -3Y Combine like terms: 3Y + -3Y = 0 12X + 0 + -1Z = 0 + -3Y 12X + -1Z = 0 + -3Y Remove the zero: 12X + -1Z = -3Y Add 'Z' to each side of the equation. 12X + -1Z + Z = -3Y + Z Combine like terms: -1Z + Z = 0 12X + 0 = -3Y + Z 12X = -3Y + Z Divide each side by '12'. X = -0.25Y + 0.08333333333Z Simplifying X = -0.25Y + 0.08333333333Z
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