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Simplifying -1[4z + -1(15z + 9)] = 9 + (10z + 2) Reorder the terms: -1[4z + -1(9 + 15z)] = 9 + (10z + 2) -1[4z + (9 * -1 + 15z * -1)] = 9 + (10z + 2) -1[4z + (-9 + -15z)] = 9 + (10z + 2) Reorder the terms: -1[-9 + 4z + -15z] = 9 + (10z + 2) Combine like terms: 4z + -15z = -11z -1[-9 + -11z] = 9 + (10z + 2) [-9 * -1 + -11z * -1] = 9 + (10z + 2) [9 + 11z] = 9 + (10z + 2) Reorder the terms: 9 + 11z = 9 + (2 + 10z) Remove parenthesis around (2 + 10z) 9 + 11z = 9 + 2 + 10z Combine like terms: 9 + 2 = 11 9 + 11z = 11 + 10z Solving 9 + 11z = 11 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 9 + 11z + -10z = 11 + 10z + -10z Combine like terms: 11z + -10z = 1z 9 + 1z = 11 + 10z + -10z Combine like terms: 10z + -10z = 0 9 + 1z = 11 + 0 9 + 1z = 11 Add '-9' to each side of the equation. 9 + -9 + 1z = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 11 + -9 1z = 11 + -9 Combine like terms: 11 + -9 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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