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Simplifying -1[7z + -1(16z + 9)] = 9 + (8z + 3) Reorder the terms: -1[7z + -1(9 + 16z)] = 9 + (8z + 3) -1[7z + (9 * -1 + 16z * -1)] = 9 + (8z + 3) -1[7z + (-9 + -16z)] = 9 + (8z + 3) Reorder the terms: -1[-9 + 7z + -16z] = 9 + (8z + 3) Combine like terms: 7z + -16z = -9z -1[-9 + -9z] = 9 + (8z + 3) [-9 * -1 + -9z * -1] = 9 + (8z + 3) [9 + 9z] = 9 + (8z + 3) Reorder the terms: 9 + 9z = 9 + (3 + 8z) Remove parenthesis around (3 + 8z) 9 + 9z = 9 + 3 + 8z Combine like terms: 9 + 3 = 12 9 + 9z = 12 + 8z Solving 9 + 9z = 12 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 9 + 9z + -8z = 12 + 8z + -8z Combine like terms: 9z + -8z = 1z 9 + 1z = 12 + 8z + -8z Combine like terms: 8z + -8z = 0 9 + 1z = 12 + 0 9 + 1z = 12 Add '-9' to each side of the equation. 9 + -9 + 1z = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 12 + -9 1z = 12 + -9 Combine like terms: 12 + -9 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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