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