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Simplifying 5Z + 5 + -1Z = 5 + 3Z + 2 Reorder the terms: 5 + 5Z + -1Z = 5 + 3Z + 2 Combine like terms: 5Z + -1Z = 4Z 5 + 4Z = 5 + 3Z + 2 Reorder the terms: 5 + 4Z = 5 + 2 + 3Z Combine like terms: 5 + 2 = 7 5 + 4Z = 7 + 3Z Solving 5 + 4Z = 7 + 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. 5 + 4Z + -3Z = 7 + 3Z + -3Z Combine like terms: 4Z + -3Z = 1Z 5 + 1Z = 7 + 3Z + -3Z Combine like terms: 3Z + -3Z = 0 5 + 1Z = 7 + 0 5 + 1Z = 7 Add '-5' to each side of the equation. 5 + -5 + 1Z = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1Z = 7 + -5 1Z = 7 + -5 Combine like terms: 7 + -5 = 2 1Z = 2 Divide each side by '1'. Z = 2 Simplifying Z = 2
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