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Simplifying -1[8z + -1(16z + 8)] = 8 + (7z + 0) Reorder the terms: -1[8z + -1(8 + 16z)] = 8 + (7z + 0) -1[8z + (8 * -1 + 16z * -1)] = 8 + (7z + 0) -1[8z + (-8 + -16z)] = 8 + (7z + 0) Reorder the terms: -1[-8 + 8z + -16z] = 8 + (7z + 0) Combine like terms: 8z + -16z = -8z -1[-8 + -8z] = 8 + (7z + 0) [-8 * -1 + -8z * -1] = 8 + (7z + 0) [8 + 8z] = 8 + (7z + 0) Reorder the terms: 8 + 8z = 8 + (0 + 7z) Remove the zero: 8 + 8z = 8 + (7z) 8 + 8z = 8 + (7z) Add '-8' to each side of the equation. 8 + -8 + 8z = 8 + -8 + (7z) Combine like terms: 8 + -8 = 0 0 + 8z = 8 + -8 + (7z) 8z = 8 + -8 + (7z) Combine like terms: 8 + -8 = 0 8z = 0 + (7z) 8z = (7z) Solving 8z = (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. 8z + (-7z) = (7z) + (-7z) Combine like terms: 8z + (-7z) = 1z 1z = (7z) + (-7z) Combine like terms: (7z) + (-7z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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