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Simplifying -7[7z + -1(18z + 2)] = 2 + (10z + 8) Reorder the terms: -7[7z + -1(2 + 18z)] = 2 + (10z + 8) -7[7z + (2 * -1 + 18z * -1)] = 2 + (10z + 8) -7[7z + (-2 + -18z)] = 2 + (10z + 8) Reorder the terms: -7[-2 + 7z + -18z] = 2 + (10z + 8) Combine like terms: 7z + -18z = -11z -7[-2 + -11z] = 2 + (10z + 8) [-2 * -7 + -11z * -7] = 2 + (10z + 8) [14 + 77z] = 2 + (10z + 8) Reorder the terms: 14 + 77z = 2 + (8 + 10z) Remove parenthesis around (8 + 10z) 14 + 77z = 2 + 8 + 10z Combine like terms: 2 + 8 = 10 14 + 77z = 10 + 10z Solving 14 + 77z = 10 + 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. 14 + 77z + -10z = 10 + 10z + -10z Combine like terms: 77z + -10z = 67z 14 + 67z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 14 + 67z = 10 + 0 14 + 67z = 10 Add '-14' to each side of the equation. 14 + -14 + 67z = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 67z = 10 + -14 67z = 10 + -14 Combine like terms: 10 + -14 = -4 67z = -4 Divide each side by '67'. z = -0.05970149254 Simplifying z = -0.05970149254
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