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Simplifying -1[6z + -1(13z + 5)] = 5 + (6z + 6) Reorder the terms: -1[6z + -1(5 + 13z)] = 5 + (6z + 6) -1[6z + (5 * -1 + 13z * -1)] = 5 + (6z + 6) -1[6z + (-5 + -13z)] = 5 + (6z + 6) Reorder the terms: -1[-5 + 6z + -13z] = 5 + (6z + 6) Combine like terms: 6z + -13z = -7z -1[-5 + -7z] = 5 + (6z + 6) [-5 * -1 + -7z * -1] = 5 + (6z + 6) [5 + 7z] = 5 + (6z + 6) Reorder the terms: 5 + 7z = 5 + (6 + 6z) Remove parenthesis around (6 + 6z) 5 + 7z = 5 + 6 + 6z Combine like terms: 5 + 6 = 11 5 + 7z = 11 + 6z Solving 5 + 7z = 11 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 5 + 7z + -6z = 11 + 6z + -6z Combine like terms: 7z + -6z = 1z 5 + 1z = 11 + 6z + -6z Combine like terms: 6z + -6z = 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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