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Simplifying 23 + 10z + -19 = 15z + 13 + -9 Reorder the terms: 23 + -19 + 10z = 15z + 13 + -9 Combine like terms: 23 + -19 = 4 4 + 10z = 15z + 13 + -9 Reorder the terms: 4 + 10z = 13 + -9 + 15z Combine like terms: 13 + -9 = 4 4 + 10z = 4 + 15z Add '-4' to each side of the equation. 4 + -4 + 10z = 4 + -4 + 15z Combine like terms: 4 + -4 = 0 0 + 10z = 4 + -4 + 15z 10z = 4 + -4 + 15z Combine like terms: 4 + -4 = 0 10z = 0 + 15z 10z = 15z Solving 10z = 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 10z + -15z = 15z + -15z Combine like terms: 10z + -15z = -5z -5z = 15z + -15z Combine like terms: 15z + -15z = 0 -5z = 0 Divide each side by '-5'. z = 0 Simplifying z = 0
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