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Simplifying -1[7z + -1(16z + 9)] = 9 + (8z + 0) Reorder the terms: -1[7z + -1(9 + 16z)] = 9 + (8z + 0) -1[7z + (9 * -1 + 16z * -1)] = 9 + (8z + 0) -1[7z + (-9 + -16z)] = 9 + (8z + 0) Reorder the terms: -1[-9 + 7z + -16z] = 9 + (8z + 0) Combine like terms: 7z + -16z = -9z -1[-9 + -9z] = 9 + (8z + 0) [-9 * -1 + -9z * -1] = 9 + (8z + 0) [9 + 9z] = 9 + (8z + 0) Reorder the terms: 9 + 9z = 9 + (0 + 8z) Remove the zero: 9 + 9z = 9 + (8z) 9 + 9z = 9 + (8z) Add '-9' to each side of the equation. 9 + -9 + 9z = 9 + -9 + (8z) Combine like terms: 9 + -9 = 0 0 + 9z = 9 + -9 + (8z) 9z = 9 + -9 + (8z) Combine like terms: 9 + -9 = 0 9z = 0 + (8z) 9z = (8z) Solving 9z = (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. 9z + (-8z) = (8z) + (-8z) Combine like terms: 9z + (-8z) = 1z 1z = (8z) + (-8z) Combine like terms: (8z) + (-8z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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