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Simplifying 12z + 4 = 2(5z + 8) + 12 Reorder the terms: 4 + 12z = 2(5z + 8) + 12 Reorder the terms: 4 + 12z = 2(8 + 5z) + 12 4 + 12z = (8 * 2 + 5z * 2) + 12 4 + 12z = (16 + 10z) + 12 Reorder the terms: 4 + 12z = 16 + 12 + 10z Combine like terms: 16 + 12 = 28 4 + 12z = 28 + 10z Solving 4 + 12z = 28 + 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. 4 + 12z + -10z = 28 + 10z + -10z Combine like terms: 12z + -10z = 2z 4 + 2z = 28 + 10z + -10z Combine like terms: 10z + -10z = 0 4 + 2z = 28 + 0 4 + 2z = 28 Add '-4' to each side of the equation. 4 + -4 + 2z = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = 28 + -4 2z = 28 + -4 Combine like terms: 28 + -4 = 24 2z = 24 Divide each side by '2'. z = 12 Simplifying z = 12
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