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Simplifying -1[4z + -1(12z + 9)] = 9 + (7z + 5) Reorder the terms: -1[4z + -1(9 + 12z)] = 9 + (7z + 5) -1[4z + (9 * -1 + 12z * -1)] = 9 + (7z + 5) -1[4z + (-9 + -12z)] = 9 + (7z + 5) Reorder the terms: -1[-9 + 4z + -12z] = 9 + (7z + 5) Combine like terms: 4z + -12z = -8z -1[-9 + -8z] = 9 + (7z + 5) [-9 * -1 + -8z * -1] = 9 + (7z + 5) [9 + 8z] = 9 + (7z + 5) Reorder the terms: 9 + 8z = 9 + (5 + 7z) Remove parenthesis around (5 + 7z) 9 + 8z = 9 + 5 + 7z Combine like terms: 9 + 5 = 14 9 + 8z = 14 + 7z Solving 9 + 8z = 14 + 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. 9 + 8z + -7z = 14 + 7z + -7z Combine like terms: 8z + -7z = 1z 9 + 1z = 14 + 7z + -7z Combine like terms: 7z + -7z = 0 9 + 1z = 14 + 0 9 + 1z = 14 Add '-9' to each side of the equation. 9 + -9 + 1z = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 14 + -9 1z = 14 + -9 Combine like terms: 14 + -9 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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