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Simplifying -8[z + -1(19z + 3)] = 3 + (10z + 7) Reorder the terms: -8[z + -1(3 + 19z)] = 3 + (10z + 7) -8[z + (3 * -1 + 19z * -1)] = 3 + (10z + 7) -8[z + (-3 + -19z)] = 3 + (10z + 7) Reorder the terms: -8[-3 + z + -19z] = 3 + (10z + 7) Combine like terms: z + -19z = -18z -8[-3 + -18z] = 3 + (10z + 7) [-3 * -8 + -18z * -8] = 3 + (10z + 7) [24 + 144z] = 3 + (10z + 7) Reorder the terms: 24 + 144z = 3 + (7 + 10z) Remove parenthesis around (7 + 10z) 24 + 144z = 3 + 7 + 10z Combine like terms: 3 + 7 = 10 24 + 144z = 10 + 10z Solving 24 + 144z = 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. 24 + 144z + -10z = 10 + 10z + -10z Combine like terms: 144z + -10z = 134z 24 + 134z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 24 + 134z = 10 + 0 24 + 134z = 10 Add '-24' to each side of the equation. 24 + -24 + 134z = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 134z = 10 + -24 134z = 10 + -24 Combine like terms: 10 + -24 = -14 134z = -14 Divide each side by '134'. z = -0.1044776119 Simplifying z = -0.1044776119
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