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Simplifying 8 + 13Z + -3 = 8X + 27 + -6Z Reorder the terms: 8 + -3 + 13Z = 8X + 27 + -6Z Combine like terms: 8 + -3 = 5 5 + 13Z = 8X + 27 + -6Z Reorder the terms: 5 + 13Z = 27 + 8X + -6Z Solving 5 + 13Z = 27 + 8X + -6Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '6Z' to each side of the equation. 5 + 13Z + 6Z = 27 + 8X + -6Z + 6Z Combine like terms: 13Z + 6Z = 19Z 5 + 19Z = 27 + 8X + -6Z + 6Z Combine like terms: -6Z + 6Z = 0 5 + 19Z = 27 + 8X + 0 5 + 19Z = 27 + 8X Add '-5' to each side of the equation. 5 + -5 + 19Z = 27 + -5 + 8X Combine like terms: 5 + -5 = 0 0 + 19Z = 27 + -5 + 8X 19Z = 27 + -5 + 8X Combine like terms: 27 + -5 = 22 19Z = 22 + 8X Divide each side by '19'. Z = 1.157894737 + 0.4210526316X Simplifying Z = 1.157894737 + 0.4210526316X
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