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Simplifying -1[3z + -1(14z + 1)] = 1 + (102 + 5) Reorder the terms: -1[3z + -1(1 + 14z)] = 1 + (102 + 5) -1[3z + (1 * -1 + 14z * -1)] = 1 + (102 + 5) -1[3z + (-1 + -14z)] = 1 + (102 + 5) Reorder the terms: -1[-1 + 3z + -14z] = 1 + (102 + 5) Combine like terms: 3z + -14z = -11z -1[-1 + -11z] = 1 + (102 + 5) [-1 * -1 + -11z * -1] = 1 + (102 + 5) [1 + 11z] = 1 + (102 + 5) Combine like terms: 102 + 5 = 107 1 + 11z = 1 + (107) 1 + 11z = 1 + 107 Combine like terms: 1 + 107 = 108 1 + 11z = 108 Solving 1 + 11z = 108 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11z = 108 + -1 Combine like terms: 1 + -1 = 0 0 + 11z = 108 + -1 11z = 108 + -1 Combine like terms: 108 + -1 = 107 11z = 107 Divide each side by '11'. z = 9.727272727 Simplifying z = 9.727272727
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