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Simplifying -1[9z + -1(18z + 5)] = 5 + (8z + 4) Reorder the terms: -1[9z + -1(5 + 18z)] = 5 + (8z + 4) -1[9z + (5 * -1 + 18z * -1)] = 5 + (8z + 4) -1[9z + (-5 + -18z)] = 5 + (8z + 4) Reorder the terms: -1[-5 + 9z + -18z] = 5 + (8z + 4) Combine like terms: 9z + -18z = -9z -1[-5 + -9z] = 5 + (8z + 4) [-5 * -1 + -9z * -1] = 5 + (8z + 4) [5 + 9z] = 5 + (8z + 4) Reorder the terms: 5 + 9z = 5 + (4 + 8z) Remove parenthesis around (4 + 8z) 5 + 9z = 5 + 4 + 8z Combine like terms: 5 + 4 = 9 5 + 9z = 9 + 8z Solving 5 + 9z = 9 + 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. 5 + 9z + -8z = 9 + 8z + -8z Combine like terms: 9z + -8z = 1z 5 + 1z = 9 + 8z + -8z Combine like terms: 8z + -8z = 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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