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Simplifying 9z + -1[7z + -1(18z + 3)] = 0 Reorder the terms: 9z + -1[7z + -1(3 + 18z)] = 0 9z + -1[7z + (3 * -1 + 18z * -1)] = 0 9z + -1[7z + (-3 + -18z)] = 0 Reorder the terms: 9z + -1[-3 + 7z + -18z] = 0 Combine like terms: 7z + -18z = -11z 9z + -1[-3 + -11z] = 0 9z + [-3 * -1 + -11z * -1] = 0 9z + [3 + 11z] = 0 Reorder the terms: 3 + 9z + 11z = 0 Combine like terms: 9z + 11z = 20z 3 + 20z = 0 Solving 3 + 20z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 20z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 20z = 0 + -3 20z = 0 + -3 Combine like terms: 0 + -3 = -3 20z = -3 Divide each side by '20'. z = -0.15 Simplifying z = -0.15
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