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Simplifying -1[6z + -1(13z + 5)] = 5 + (6z + 0) Reorder the terms: -1[6z + -1(5 + 13z)] = 5 + (6z + 0) -1[6z + (5 * -1 + 13z * -1)] = 5 + (6z + 0) -1[6z + (-5 + -13z)] = 5 + (6z + 0) Reorder the terms: -1[-5 + 6z + -13z] = 5 + (6z + 0) Combine like terms: 6z + -13z = -7z -1[-5 + -7z] = 5 + (6z + 0) [-5 * -1 + -7z * -1] = 5 + (6z + 0) [5 + 7z] = 5 + (6z + 0) Reorder the terms: 5 + 7z = 5 + (0 + 6z) Remove the zero: 5 + 7z = 5 + (6z) 5 + 7z = 5 + (6z) Add '-5' to each side of the equation. 5 + -5 + 7z = 5 + -5 + (6z) Combine like terms: 5 + -5 = 0 0 + 7z = 5 + -5 + (6z) 7z = 5 + -5 + (6z) Combine like terms: 5 + -5 = 0 7z = 0 + (6z) 7z = (6z) Solving 7z = (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. 7z + (-6z) = (6z) + (-6z) Combine like terms: 7z + (-6z) = 1z 1z = (6z) + (-6z) Combine like terms: (6z) + (-6z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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