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Simplifying -1[9z + -1(19z + 9)] = 9 + 9z + 6 Reorder the terms: -1[9z + -1(9 + 19z)] = 9 + 9z + 6 -1[9z + (9 * -1 + 19z * -1)] = 9 + 9z + 6 -1[9z + (-9 + -19z)] = 9 + 9z + 6 Reorder the terms: -1[-9 + 9z + -19z] = 9 + 9z + 6 Combine like terms: 9z + -19z = -10z -1[-9 + -10z] = 9 + 9z + 6 [-9 * -1 + -10z * -1] = 9 + 9z + 6 [9 + 10z] = 9 + 9z + 6 Reorder the terms: 9 + 10z = 9 + 6 + 9z Combine like terms: 9 + 6 = 15 9 + 10z = 15 + 9z Solving 9 + 10z = 15 + 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. 9 + 10z + -9z = 15 + 9z + -9z Combine like terms: 10z + -9z = 1z 9 + 1z = 15 + 9z + -9z Combine like terms: 9z + -9z = 0 9 + 1z = 15 + 0 9 + 1z = 15 Add '-9' to each side of the equation. 9 + -9 + 1z = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 15 + -9 1z = 15 + -9 Combine like terms: 15 + -9 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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