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Simplifying 12z + 3 + -20 = 19 + 10z Reorder the terms: 3 + -20 + 12z = 19 + 10z Combine like terms: 3 + -20 = -17 -17 + 12z = 19 + 10z Solving -17 + 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. -17 + 12z + -10z = 19 + 10z + -10z Combine like terms: 12z + -10z = 2z -17 + 2z = 19 + 10z + -10z Combine like terms: 10z + -10z = 0 -17 + 2z = 19 + 0 -17 + 2z = 19 Add '17' to each side of the equation. -17 + 17 + 2z = 19 + 17 Combine like terms: -17 + 17 = 0 0 + 2z = 19 + 17 2z = 19 + 17 Combine like terms: 19 + 17 = 36 2z = 36 Divide each side by '2'. z = 18 Simplifying z = 18
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