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Simplifying -1[8z + -1(19z + 3)] = 3 + (10z + 5) Reorder the terms: -1[8z + -1(3 + 19z)] = 3 + (10z + 5) -1[8z + (3 * -1 + 19z * -1)] = 3 + (10z + 5) -1[8z + (-3 + -19z)] = 3 + (10z + 5) Reorder the terms: -1[-3 + 8z + -19z] = 3 + (10z + 5) Combine like terms: 8z + -19z = -11z -1[-3 + -11z] = 3 + (10z + 5) [-3 * -1 + -11z * -1] = 3 + (10z + 5) [3 + 11z] = 3 + (10z + 5) Reorder the terms: 3 + 11z = 3 + (5 + 10z) Remove parenthesis around (5 + 10z) 3 + 11z = 3 + 5 + 10z Combine like terms: 3 + 5 = 8 3 + 11z = 8 + 10z Solving 3 + 11z = 8 + 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. 3 + 11z + -10z = 8 + 10z + -10z Combine like terms: 11z + -10z = 1z 3 + 1z = 8 + 10z + -10z Combine like terms: 10z + -10z = 0 3 + 1z = 8 + 0 3 + 1z = 8 Add '-3' to each side of the equation. 3 + -3 + 1z = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 8 + -3 1z = 8 + -3 Combine like terms: 8 + -3 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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