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Simplifying -1[10z + -1(19z + 9)] = 9 + (8z + 4) Reorder the terms: -1[10z + -1(9 + 19z)] = 9 + (8z + 4) -1[10z + (9 * -1 + 19z * -1)] = 9 + (8z + 4) -1[10z + (-9 + -19z)] = 9 + (8z + 4) Reorder the terms: -1[-9 + 10z + -19z] = 9 + (8z + 4) Combine like terms: 10z + -19z = -9z -1[-9 + -9z] = 9 + (8z + 4) [-9 * -1 + -9z * -1] = 9 + (8z + 4) [9 + 9z] = 9 + (8z + 4) Reorder the terms: 9 + 9z = 9 + (4 + 8z) Remove parenthesis around (4 + 8z) 9 + 9z = 9 + 4 + 8z Combine like terms: 9 + 4 = 13 9 + 9z = 13 + 8z Solving 9 + 9z = 13 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 9 + 9z + -8z = 13 + 8z + -8z Combine like terms: 9z + -8z = 1z 9 + 1z = 13 + 8z + -8z Combine like terms: 8z + -8z = 0 9 + 1z = 13 + 0 9 + 1z = 13 Add '-9' to each side of the equation. 9 + -9 + 1z = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 13 + -9 1z = 13 + -9 Combine like terms: 13 + -9 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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