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Simplifying -1[9z + -1(19z + 3)] = 3 + (9z + 8) Reorder the terms: -1[9z + -1(3 + 19z)] = 3 + (9z + 8) -1[9z + (3 * -1 + 19z * -1)] = 3 + (9z + 8) -1[9z + (-3 + -19z)] = 3 + (9z + 8) Reorder the terms: -1[-3 + 9z + -19z] = 3 + (9z + 8) Combine like terms: 9z + -19z = -10z -1[-3 + -10z] = 3 + (9z + 8) [-3 * -1 + -10z * -1] = 3 + (9z + 8) [3 + 10z] = 3 + (9z + 8) Reorder the terms: 3 + 10z = 3 + (8 + 9z) Remove parenthesis around (8 + 9z) 3 + 10z = 3 + 8 + 9z Combine like terms: 3 + 8 = 11 3 + 10z = 11 + 9z Solving 3 + 10z = 11 + 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. 3 + 10z + -9z = 11 + 9z + -9z Combine like terms: 10z + -9z = 1z 3 + 1z = 11 + 9z + -9z Combine like terms: 9z + -9z = 0 3 + 1z = 11 + 0 3 + 1z = 11 Add '-3' to each side of the equation. 3 + -3 + 1z = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 11 + -3 1z = 11 + -3 Combine like terms: 11 + -3 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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