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Simplifying -1[6Z + -1(11Z + 2)] = 2 + (4Z + 1) Reorder the terms: -1[6Z + -1(2 + 11Z)] = 2 + (4Z + 1) -1[6Z + (2 * -1 + 11Z * -1)] = 2 + (4Z + 1) -1[6Z + (-2 + -11Z)] = 2 + (4Z + 1) Reorder the terms: -1[-2 + 6Z + -11Z] = 2 + (4Z + 1) Combine like terms: 6Z + -11Z = -5Z -1[-2 + -5Z] = 2 + (4Z + 1) [-2 * -1 + -5Z * -1] = 2 + (4Z + 1) [2 + 5Z] = 2 + (4Z + 1) Reorder the terms: 2 + 5Z = 2 + (1 + 4Z) Remove parenthesis around (1 + 4Z) 2 + 5Z = 2 + 1 + 4Z Combine like terms: 2 + 1 = 3 2 + 5Z = 3 + 4Z Solving 2 + 5Z = 3 + 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. 2 + 5Z + -4Z = 3 + 4Z + -4Z Combine like terms: 5Z + -4Z = 1Z 2 + 1Z = 3 + 4Z + -4Z Combine like terms: 4Z + -4Z = 0 2 + 1Z = 3 + 0 2 + 1Z = 3 Add '-2' to each side of the equation. 2 + -2 + 1Z = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1Z = 3 + -2 1Z = 3 + -2 Combine like terms: 3 + -2 = 1 1Z = 1 Divide each side by '1'. Z = 1 Simplifying Z = 1
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