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Simplifying 3X + -5Y + 8Z = 0 Solving 3X + -5Y + 8Z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5Y' to each side of the equation. 3X + -5Y + 5Y + 8Z = 0 + 5Y Combine like terms: -5Y + 5Y = 0 3X + 0 + 8Z = 0 + 5Y 3X + 8Z = 0 + 5Y Remove the zero: 3X + 8Z = 5Y Add '-8Z' to each side of the equation. 3X + 8Z + -8Z = 5Y + -8Z Combine like terms: 8Z + -8Z = 0 3X + 0 = 5Y + -8Z 3X = 5Y + -8Z Divide each side by '3'. X = 1.666666667Y + -2.666666667Z Simplifying X = 1.666666667Y + -2.666666667Z
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