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Simplifying 12Z + -24 = 3Z + 1 Reorder the terms: -24 + 12Z = 3Z + 1 Reorder the terms: -24 + 12Z = 1 + 3Z Solving -24 + 12Z = 1 + 3Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-3Z' to each side of the equation. -24 + 12Z + -3Z = 1 + 3Z + -3Z Combine like terms: 12Z + -3Z = 9Z -24 + 9Z = 1 + 3Z + -3Z Combine like terms: 3Z + -3Z = 0 -24 + 9Z = 1 + 0 -24 + 9Z = 1 Add '24' to each side of the equation. -24 + 24 + 9Z = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 9Z = 1 + 24 9Z = 1 + 24 Combine like terms: 1 + 24 = 25 9Z = 25 Divide each side by '9'. Z = 2.777777778 Simplifying Z = 2.777777778
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