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Simplifying -1[9z + -1(11z + 10)] = 10 + (1z + 5) Reorder the terms: -1[9z + -1(10 + 11z)] = 10 + (1z + 5) -1[9z + (10 * -1 + 11z * -1)] = 10 + (1z + 5) -1[9z + (-10 + -11z)] = 10 + (1z + 5) Reorder the terms: -1[-10 + 9z + -11z] = 10 + (1z + 5) Combine like terms: 9z + -11z = -2z -1[-10 + -2z] = 10 + (1z + 5) [-10 * -1 + -2z * -1] = 10 + (1z + 5) [10 + 2z] = 10 + (1z + 5) Reorder the terms: 10 + 2z = 10 + (5 + 1z) Remove parenthesis around (5 + 1z) 10 + 2z = 10 + 5 + 1z Combine like terms: 10 + 5 = 15 10 + 2z = 15 + 1z Solving 10 + 2z = 15 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 10 + 2z + -1z = 15 + 1z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = 15 + 1z + -1z Combine like terms: 1z + -1z = 0 10 + 1z = 15 + 0 10 + 1z = 15 Add '-10' to each side of the equation. 10 + -10 + 1z = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 15 + -10 1z = 15 + -10 Combine like terms: 15 + -10 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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