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Simplifying -1[2z + -1(11z + 6)] = 6 + (8z + 5) Reorder the terms: -1[2z + -1(6 + 11z)] = 6 + (8z + 5) -1[2z + (6 * -1 + 11z * -1)] = 6 + (8z + 5) -1[2z + (-6 + -11z)] = 6 + (8z + 5) Reorder the terms: -1[-6 + 2z + -11z] = 6 + (8z + 5) Combine like terms: 2z + -11z = -9z -1[-6 + -9z] = 6 + (8z + 5) [-6 * -1 + -9z * -1] = 6 + (8z + 5) [6 + 9z] = 6 + (8z + 5) Reorder the terms: 6 + 9z = 6 + (5 + 8z) Remove parenthesis around (5 + 8z) 6 + 9z = 6 + 5 + 8z Combine like terms: 6 + 5 = 11 6 + 9z = 11 + 8z Solving 6 + 9z = 11 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 6 + 9z + -8z = 11 + 8z + -8z Combine like terms: 9z + -8z = 1z 6 + 1z = 11 + 8z + -8z Combine like terms: 8z + -8z = 0 6 + 1z = 11 + 0 6 + 1z = 11 Add '-6' to each side of the equation. 6 + -6 + 1z = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 11 + -6 1z = 11 + -6 Combine like terms: 11 + -6 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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