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Simplifying -1[8z + -1(16z + 2)] = 2 + (7z + 1) Reorder the terms: -1[8z + -1(2 + 16z)] = 2 + (7z + 1) -1[8z + (2 * -1 + 16z * -1)] = 2 + (7z + 1) -1[8z + (-2 + -16z)] = 2 + (7z + 1) Reorder the terms: -1[-2 + 8z + -16z] = 2 + (7z + 1) Combine like terms: 8z + -16z = -8z -1[-2 + -8z] = 2 + (7z + 1) [-2 * -1 + -8z * -1] = 2 + (7z + 1) [2 + 8z] = 2 + (7z + 1) Reorder the terms: 2 + 8z = 2 + (1 + 7z) Remove parenthesis around (1 + 7z) 2 + 8z = 2 + 1 + 7z Combine like terms: 2 + 1 = 3 2 + 8z = 3 + 7z Solving 2 + 8z = 3 + 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. 2 + 8z + -7z = 3 + 7z + -7z Combine like terms: 8z + -7z = 1z 2 + 1z = 3 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + 1z = 3 + 0 2 + 1z = 3 Add '-2' to each side of the equation. 2 + -2 + 1z = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 3 + -2 1z = 3 + -2 Combine like terms: 3 + -2 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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