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Simplifying -1[8z + -1(16z + 7)] = 7 + (7z + 9) Reorder the terms: -1[8z + -1(7 + 16z)] = 7 + (7z + 9) -1[8z + (7 * -1 + 16z * -1)] = 7 + (7z + 9) -1[8z + (-7 + -16z)] = 7 + (7z + 9) Reorder the terms: -1[-7 + 8z + -16z] = 7 + (7z + 9) Combine like terms: 8z + -16z = -8z -1[-7 + -8z] = 7 + (7z + 9) [-7 * -1 + -8z * -1] = 7 + (7z + 9) [7 + 8z] = 7 + (7z + 9) Reorder the terms: 7 + 8z = 7 + (9 + 7z) Remove parenthesis around (9 + 7z) 7 + 8z = 7 + 9 + 7z Combine like terms: 7 + 9 = 16 7 + 8z = 16 + 7z Solving 7 + 8z = 16 + 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. 7 + 8z + -7z = 16 + 7z + -7z Combine like terms: 8z + -7z = 1z 7 + 1z = 16 + 7z + -7z Combine like terms: 7z + -7z = 0 7 + 1z = 16 + 0 7 + 1z = 16 Add '-7' to each side of the equation. 7 + -7 + 1z = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 16 + -7 1z = 16 + -7 Combine like terms: 16 + -7 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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