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Simplifying -1[7z + -1(12z + 6)] = 6 + (4z + 8) Reorder the terms: -1[7z + -1(6 + 12z)] = 6 + (4z + 8) -1[7z + (6 * -1 + 12z * -1)] = 6 + (4z + 8) -1[7z + (-6 + -12z)] = 6 + (4z + 8) Reorder the terms: -1[-6 + 7z + -12z] = 6 + (4z + 8) Combine like terms: 7z + -12z = -5z -1[-6 + -5z] = 6 + (4z + 8) [-6 * -1 + -5z * -1] = 6 + (4z + 8) [6 + 5z] = 6 + (4z + 8) Reorder the terms: 6 + 5z = 6 + (8 + 4z) Remove parenthesis around (8 + 4z) 6 + 5z = 6 + 8 + 4z Combine like terms: 6 + 8 = 14 6 + 5z = 14 + 4z Solving 6 + 5z = 14 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 6 + 5z + -4z = 14 + 4z + -4z Combine like terms: 5z + -4z = 1z 6 + 1z = 14 + 4z + -4z Combine like terms: 4z + -4z = 0 6 + 1z = 14 + 0 6 + 1z = 14 Add '-6' to each side of the equation. 6 + -6 + 1z = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 14 + -6 1z = 14 + -6 Combine like terms: 14 + -6 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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