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Simplifying -5Z + 13Z + -1 = 7Z + 3 Reorder the terms: -1 + -5Z + 13Z = 7Z + 3 Combine like terms: -5Z + 13Z = 8Z -1 + 8Z = 7Z + 3 Reorder the terms: -1 + 8Z = 3 + 7Z Solving -1 + 8Z = 3 + 7Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-7Z' to each side of the equation. -1 + 8Z + -7Z = 3 + 7Z + -7Z Combine like terms: 8Z + -7Z = 1Z -1 + 1Z = 3 + 7Z + -7Z Combine like terms: 7Z + -7Z = 0 -1 + 1Z = 3 + 0 -1 + 1Z = 3 Add '1' to each side of the equation. -1 + 1 + 1Z = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 1Z = 3 + 1 1Z = 3 + 1 Combine like terms: 3 + 1 = 4 1Z = 4 Divide each side by '1'. Z = 4 Simplifying Z = 4
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