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Simplifying 4Z + -3 = 8Z + 5 Reorder the terms: -3 + 4Z = 8Z + 5 Reorder the terms: -3 + 4Z = 5 + 8Z Solving -3 + 4Z = 5 + 8Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-8Z' to each side of the equation. -3 + 4Z + -8Z = 5 + 8Z + -8Z Combine like terms: 4Z + -8Z = -4Z -3 + -4Z = 5 + 8Z + -8Z Combine like terms: 8Z + -8Z = 0 -3 + -4Z = 5 + 0 -3 + -4Z = 5 Add '3' to each side of the equation. -3 + 3 + -4Z = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -4Z = 5 + 3 -4Z = 5 + 3 Combine like terms: 5 + 3 = 8 -4Z = 8 Divide each side by '-4'. Z = -2 Simplifying Z = -2
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