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Simplifying 12z = 4 + 2(5z + 8) Reorder the terms: 12z = 4 + 2(8 + 5z) 12z = 4 + (8 * 2 + 5z * 2) 12z = 4 + (16 + 10z) Combine like terms: 4 + 16 = 20 12z = 20 + 10z Solving 12z = 20 + 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. 12z + -10z = 20 + 10z + -10z Combine like terms: 12z + -10z = 2z 2z = 20 + 10z + -10z Combine like terms: 10z + -10z = 0 2z = 20 + 0 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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