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Simplifying -1[5z + -1(12z + 8)] = 8 + (6z + 1) Reorder the terms: -1[5z + -1(8 + 12z)] = 8 + (6z + 1) -1[5z + (8 * -1 + 12z * -1)] = 8 + (6z + 1) -1[5z + (-8 + -12z)] = 8 + (6z + 1) Reorder the terms: -1[-8 + 5z + -12z] = 8 + (6z + 1) Combine like terms: 5z + -12z = -7z -1[-8 + -7z] = 8 + (6z + 1) [-8 * -1 + -7z * -1] = 8 + (6z + 1) [8 + 7z] = 8 + (6z + 1) Reorder the terms: 8 + 7z = 8 + (1 + 6z) Remove parenthesis around (1 + 6z) 8 + 7z = 8 + 1 + 6z Combine like terms: 8 + 1 = 9 8 + 7z = 9 + 6z Solving 8 + 7z = 9 + 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. 8 + 7z + -6z = 9 + 6z + -6z Combine like terms: 7z + -6z = 1z 8 + 1z = 9 + 6z + -6z Combine like terms: 6z + -6z = 0 8 + 1z = 9 + 0 8 + 1z = 9 Add '-8' to each side of the equation. 8 + -8 + 1z = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 9 + -8 1z = 9 + -8 Combine like terms: 9 + -8 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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