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Simplifying -1[8z + -1(18z + 8)] = 8 + (9z + 4) Reorder the terms: -1[8z + -1(8 + 18z)] = 8 + (9z + 4) -1[8z + (8 * -1 + 18z * -1)] = 8 + (9z + 4) -1[8z + (-8 + -18z)] = 8 + (9z + 4) Reorder the terms: -1[-8 + 8z + -18z] = 8 + (9z + 4) Combine like terms: 8z + -18z = -10z -1[-8 + -10z] = 8 + (9z + 4) [-8 * -1 + -10z * -1] = 8 + (9z + 4) [8 + 10z] = 8 + (9z + 4) Reorder the terms: 8 + 10z = 8 + (4 + 9z) Remove parenthesis around (4 + 9z) 8 + 10z = 8 + 4 + 9z Combine like terms: 8 + 4 = 12 8 + 10z = 12 + 9z Solving 8 + 10z = 12 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 8 + 10z + -9z = 12 + 9z + -9z Combine like terms: 10z + -9z = 1z 8 + 1z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + 1z = 12 + 0 8 + 1z = 12 Add '-8' to each side of the equation. 8 + -8 + 1z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 12 + -8 1z = 12 + -8 Combine like terms: 12 + -8 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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