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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 = 4 4 + 12z = 4 + 10z Add '-4' to each side of the equation. 4 + -4 + 12z = 4 + -4 + 10z Combine like terms: 4 + -4 = 0 0 + 12z = 4 + -4 + 10z 12z = 4 + -4 + 10z Combine like terms: 4 + -4 = 0 12z = 0 + 10z 12z = 10z Solving 12z = 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 = 10z + -10z Combine like terms: 12z + -10z = 2z 2z = 10z + -10z Combine like terms: 10z + -10z = 0 2z = 0 Divide each side by '2'. z = 0 Simplifying z = 0
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