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Simplifying -1[5Z + -1(16Z + 3)] = 3 + (10Z + 0) Reorder the terms: -1[5Z + -1(3 + 16Z)] = 3 + (10Z + 0) -1[5Z + (3 * -1 + 16Z * -1)] = 3 + (10Z + 0) -1[5Z + (-3 + -16Z)] = 3 + (10Z + 0) Reorder the terms: -1[-3 + 5Z + -16Z] = 3 + (10Z + 0) Combine like terms: 5Z + -16Z = -11Z -1[-3 + -11Z] = 3 + (10Z + 0) [-3 * -1 + -11Z * -1] = 3 + (10Z + 0) [3 + 11Z] = 3 + (10Z + 0) Reorder the terms: 3 + 11Z = 3 + (0 + 10Z) Remove the zero: 3 + 11Z = 3 + (10Z) 3 + 11Z = 3 + (10Z) Add '-3' to each side of the equation. 3 + -3 + 11Z = 3 + -3 + (10Z) Combine like terms: 3 + -3 = 0 0 + 11Z = 3 + -3 + (10Z) 11Z = 3 + -3 + (10Z) Combine like terms: 3 + -3 = 0 11Z = 0 + (10Z) 11Z = (10Z) Solving 11Z = (10Z) Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '(-10Z)' to each side of the equation. 11Z + (-10Z) = (10Z) + (-10Z) Combine like terms: 11Z + (-10Z) = 1Z 1Z = (10Z) + (-10Z) Combine like terms: (10Z) + (-10Z) = 0 1Z = 0 Divide each side by '1'. Z = 0 Simplifying Z = 0
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