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Simplifying -1[7z + -1(17z + 10)] = 10 + (9z + 7) Reorder the terms: -1[7z + -1(10 + 17z)] = 10 + (9z + 7) -1[7z + (10 * -1 + 17z * -1)] = 10 + (9z + 7) -1[7z + (-10 + -17z)] = 10 + (9z + 7) Reorder the terms: -1[-10 + 7z + -17z] = 10 + (9z + 7) Combine like terms: 7z + -17z = -10z -1[-10 + -10z] = 10 + (9z + 7) [-10 * -1 + -10z * -1] = 10 + (9z + 7) [10 + 10z] = 10 + (9z + 7) Reorder the terms: 10 + 10z = 10 + (7 + 9z) Remove parenthesis around (7 + 9z) 10 + 10z = 10 + 7 + 9z Combine like terms: 10 + 7 = 17 10 + 10z = 17 + 9z Solving 10 + 10z = 17 + 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. 10 + 10z + -9z = 17 + 9z + -9z Combine like terms: 10z + -9z = 1z 10 + 1z = 17 + 9z + -9z Combine like terms: 9z + -9z = 0 10 + 1z = 17 + 0 10 + 1z = 17 Add '-10' to each side of the equation. 10 + -10 + 1z = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 17 + -10 1z = 17 + -10 Combine like terms: 17 + -10 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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