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Simplifying 6Z + -1 = 4Z + 1 Reorder the terms: -1 + 6Z = 4Z + 1 Reorder the terms: -1 + 6Z = 1 + 4Z Solving -1 + 6Z = 1 + 4Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-4Z' to each side of the equation. -1 + 6Z + -4Z = 1 + 4Z + -4Z Combine like terms: 6Z + -4Z = 2Z -1 + 2Z = 1 + 4Z + -4Z Combine like terms: 4Z + -4Z = 0 -1 + 2Z = 1 + 0 -1 + 2Z = 1 Add '1' to each side of the equation. -1 + 1 + 2Z = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 2Z = 1 + 1 2Z = 1 + 1 Combine like terms: 1 + 1 = 2 2Z = 2 Divide each side by '2'. Z = 1 Simplifying Z = 1
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