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Simplifying -1[3z + -1(7z + 9)] = 9 + (3z + 8) Reorder the terms: -1[3z + -1(9 + 7z)] = 9 + (3z + 8) -1[3z + (9 * -1 + 7z * -1)] = 9 + (3z + 8) -1[3z + (-9 + -7z)] = 9 + (3z + 8) Reorder the terms: -1[-9 + 3z + -7z] = 9 + (3z + 8) Combine like terms: 3z + -7z = -4z -1[-9 + -4z] = 9 + (3z + 8) [-9 * -1 + -4z * -1] = 9 + (3z + 8) [9 + 4z] = 9 + (3z + 8) Reorder the terms: 9 + 4z = 9 + (8 + 3z) Remove parenthesis around (8 + 3z) 9 + 4z = 9 + 8 + 3z Combine like terms: 9 + 8 = 17 9 + 4z = 17 + 3z Solving 9 + 4z = 17 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 9 + 4z + -3z = 17 + 3z + -3z Combine like terms: 4z + -3z = 1z 9 + 1z = 17 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + 1z = 17 + 0 9 + 1z = 17 Add '-9' to each side of the equation. 9 + -9 + 1z = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 17 + -9 1z = 17 + -9 Combine like terms: 17 + -9 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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