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Simplifying 12z + 9 = 10z + 19 Reorder the terms: 9 + 12z = 10z + 19 Reorder the terms: 9 + 12z = 19 + 10z Solving 9 + 12z = 19 + 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. 9 + 12z + -10z = 19 + 10z + -10z Combine like terms: 12z + -10z = 2z 9 + 2z = 19 + 10z + -10z Combine like terms: 10z + -10z = 0 9 + 2z = 19 + 0 9 + 2z = 19 Add '-9' to each side of the equation. 9 + -9 + 2z = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 2z = 19 + -9 2z = 19 + -9 Combine like terms: 19 + -9 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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