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Simplifying 5Z + 9 = 3Z + -7 Reorder the terms: 9 + 5Z = 3Z + -7 Reorder the terms: 9 + 5Z = -7 + 3Z Solving 9 + 5Z = -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. 9 + 5Z + -3Z = -7 + 3Z + -3Z Combine like terms: 5Z + -3Z = 2Z 9 + 2Z = -7 + 3Z + -3Z Combine like terms: 3Z + -3Z = 0 9 + 2Z = -7 + 0 9 + 2Z = -7 Add '-9' to each side of the equation. 9 + -9 + 2Z = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 2Z = -7 + -9 2Z = -7 + -9 Combine like terms: -7 + -9 = -16 2Z = -16 Divide each side by '2'. Z = -8 Simplifying Z = -8
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