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Simplifying -1[5z + -1(12z + 9)] = 9 + (6z + 7) Reorder the terms: -1[5z + -1(9 + 12z)] = 9 + (6z + 7) -1[5z + (9 * -1 + 12z * -1)] = 9 + (6z + 7) -1[5z + (-9 + -12z)] = 9 + (6z + 7) Reorder the terms: -1[-9 + 5z + -12z] = 9 + (6z + 7) Combine like terms: 5z + -12z = -7z -1[-9 + -7z] = 9 + (6z + 7) [-9 * -1 + -7z * -1] = 9 + (6z + 7) [9 + 7z] = 9 + (6z + 7) Reorder the terms: 9 + 7z = 9 + (7 + 6z) Remove parenthesis around (7 + 6z) 9 + 7z = 9 + 7 + 6z Combine like terms: 9 + 7 = 16 9 + 7z = 16 + 6z Solving 9 + 7z = 16 + 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. 9 + 7z + -6z = 16 + 6z + -6z Combine like terms: 7z + -6z = 1z 9 + 1z = 16 + 6z + -6z Combine like terms: 6z + -6z = 0 9 + 1z = 16 + 0 9 + 1z = 16 Add '-9' to each side of the equation. 9 + -9 + 1z = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 16 + -9 1z = 16 + -9 Combine like terms: 16 + -9 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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