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Simplifying 12z + 23 = 20z + -97 Reorder the terms: 23 + 12z = 20z + -97 Reorder the terms: 23 + 12z = -97 + 20z Solving 23 + 12z = -97 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 23 + 12z + -20z = -97 + 20z + -20z Combine like terms: 12z + -20z = -8z 23 + -8z = -97 + 20z + -20z Combine like terms: 20z + -20z = 0 23 + -8z = -97 + 0 23 + -8z = -97 Add '-23' to each side of the equation. 23 + -23 + -8z = -97 + -23 Combine like terms: 23 + -23 = 0 0 + -8z = -97 + -23 -8z = -97 + -23 Combine like terms: -97 + -23 = -120 -8z = -120 Divide each side by '-8'. z = 15 Simplifying z = 15
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