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Simplifying -1[9z + -1(20z + 5)] = 5 + (10z + 4) Reorder the terms: -1[9z + -1(5 + 20z)] = 5 + (10z + 4) -1[9z + (5 * -1 + 20z * -1)] = 5 + (10z + 4) -1[9z + (-5 + -20z)] = 5 + (10z + 4) Reorder the terms: -1[-5 + 9z + -20z] = 5 + (10z + 4) Combine like terms: 9z + -20z = -11z -1[-5 + -11z] = 5 + (10z + 4) [-5 * -1 + -11z * -1] = 5 + (10z + 4) [5 + 11z] = 5 + (10z + 4) Reorder the terms: 5 + 11z = 5 + (4 + 10z) Remove parenthesis around (4 + 10z) 5 + 11z = 5 + 4 + 10z Combine like terms: 5 + 4 = 9 5 + 11z = 9 + 10z Solving 5 + 11z = 9 + 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. 5 + 11z + -10z = 9 + 10z + -10z Combine like terms: 11z + -10z = 1z 5 + 1z = 9 + 10z + -10z Combine like terms: 10z + -10z = 0 5 + 1z = 9 + 0 5 + 1z = 9 Add '-5' to each side of the equation. 5 + -5 + 1z = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 9 + -5 1z = 9 + -5 Combine like terms: 9 + -5 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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