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Simplifying 8 + 13Z + -3 = 8Z + 27 + -6Z Reorder the terms: 8 + -3 + 13Z = 8Z + 27 + -6Z Combine like terms: 8 + -3 = 5 5 + 13Z = 8Z + 27 + -6Z Reorder the terms: 5 + 13Z = 27 + 8Z + -6Z Combine like terms: 8Z + -6Z = 2Z 5 + 13Z = 27 + 2Z Solving 5 + 13Z = 27 + 2Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-2Z' to each side of the equation. 5 + 13Z + -2Z = 27 + 2Z + -2Z Combine like terms: 13Z + -2Z = 11Z 5 + 11Z = 27 + 2Z + -2Z Combine like terms: 2Z + -2Z = 0 5 + 11Z = 27 + 0 5 + 11Z = 27 Add '-5' to each side of the equation. 5 + -5 + 11Z = 27 + -5 Combine like terms: 5 + -5 = 0 0 + 11Z = 27 + -5 11Z = 27 + -5 Combine like terms: 27 + -5 = 22 11Z = 22 Divide each side by '11'. Z = 2 Simplifying Z = 2
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