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Simplifying 14 + 3Z = 6Z + -8Z + -16 Reorder the terms: 14 + 3Z = -16 + 6Z + -8Z Combine like terms: 6Z + -8Z = -2Z 14 + 3Z = -16 + -2Z Solving 14 + 3Z = -16 + -2Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '2Z' to each side of the equation. 14 + 3Z + 2Z = -16 + -2Z + 2Z Combine like terms: 3Z + 2Z = 5Z 14 + 5Z = -16 + -2Z + 2Z Combine like terms: -2Z + 2Z = 0 14 + 5Z = -16 + 0 14 + 5Z = -16 Add '-14' to each side of the equation. 14 + -14 + 5Z = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 5Z = -16 + -14 5Z = -16 + -14 Combine like terms: -16 + -14 = -30 5Z = -30 Divide each side by '5'. Z = -6 Simplifying Z = -6
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