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Simplifying -1[8Z + -1(13Z + 1)] = 1 + (4Z + 5) Reorder the terms: -1[8Z + -1(1 + 13Z)] = 1 + (4Z + 5) -1[8Z + (1 * -1 + 13Z * -1)] = 1 + (4Z + 5) -1[8Z + (-1 + -13Z)] = 1 + (4Z + 5) Reorder the terms: -1[-1 + 8Z + -13Z] = 1 + (4Z + 5) Combine like terms: 8Z + -13Z = -5Z -1[-1 + -5Z] = 1 + (4Z + 5) [-1 * -1 + -5Z * -1] = 1 + (4Z + 5) [1 + 5Z] = 1 + (4Z + 5) Reorder the terms: 1 + 5Z = 1 + (5 + 4Z) Remove parenthesis around (5 + 4Z) 1 + 5Z = 1 + 5 + 4Z Combine like terms: 1 + 5 = 6 1 + 5Z = 6 + 4Z Solving 1 + 5Z = 6 + 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 + 5Z + -4Z = 6 + 4Z + -4Z Combine like terms: 5Z + -4Z = 1Z 1 + 1Z = 6 + 4Z + -4Z Combine like terms: 4Z + -4Z = 0 1 + 1Z = 6 + 0 1 + 1Z = 6 Add '-1' to each side of the equation. 1 + -1 + 1Z = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1Z = 6 + -1 1Z = 6 + -1 Combine like terms: 6 + -1 = 5 1Z = 5 Divide each side by '1'. Z = 5 Simplifying Z = 5
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