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Simplifying -1[9z + -1(17z + 5)] = 5 + (7z + 6) Reorder the terms: -1[9z + -1(5 + 17z)] = 5 + (7z + 6) -1[9z + (5 * -1 + 17z * -1)] = 5 + (7z + 6) -1[9z + (-5 + -17z)] = 5 + (7z + 6) Reorder the terms: -1[-5 + 9z + -17z] = 5 + (7z + 6) Combine like terms: 9z + -17z = -8z -1[-5 + -8z] = 5 + (7z + 6) [-5 * -1 + -8z * -1] = 5 + (7z + 6) [5 + 8z] = 5 + (7z + 6) Reorder the terms: 5 + 8z = 5 + (6 + 7z) Remove parenthesis around (6 + 7z) 5 + 8z = 5 + 6 + 7z Combine like terms: 5 + 6 = 11 5 + 8z = 11 + 7z Solving 5 + 8z = 11 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 5 + 8z + -7z = 11 + 7z + -7z Combine like terms: 8z + -7z = 1z 5 + 1z = 11 + 7z + -7z Combine like terms: 7z + -7z = 0 5 + 1z = 11 + 0 5 + 1z = 11 Add '-5' to each side of the equation. 5 + -5 + 1z = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 11 + -5 1z = 11 + -5 Combine like terms: 11 + -5 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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