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Simplifying -1[5z + -1(15z + 1)] = 1 + (9z + 8) Reorder the terms: -1[5z + -1(1 + 15z)] = 1 + (9z + 8) -1[5z + (1 * -1 + 15z * -1)] = 1 + (9z + 8) -1[5z + (-1 + -15z)] = 1 + (9z + 8) Reorder the terms: -1[-1 + 5z + -15z] = 1 + (9z + 8) Combine like terms: 5z + -15z = -10z -1[-1 + -10z] = 1 + (9z + 8) [-1 * -1 + -10z * -1] = 1 + (9z + 8) [1 + 10z] = 1 + (9z + 8) Reorder the terms: 1 + 10z = 1 + (8 + 9z) Remove parenthesis around (8 + 9z) 1 + 10z = 1 + 8 + 9z Combine like terms: 1 + 8 = 9 1 + 10z = 9 + 9z Solving 1 + 10z = 9 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 1 + 10z + -9z = 9 + 9z + -9z Combine like terms: 10z + -9z = 1z 1 + 1z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 1 + 1z = 9 + 0 1 + 1z = 9 Add '-1' to each side of the equation. 1 + -1 + 1z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 9 + -1 1z = 9 + -1 Combine like terms: 9 + -1 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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