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Simplifying 18z + -42 + 15z = 10z + -3 + 32z + -39 Reorder the terms: -42 + 18z + 15z = 10z + -3 + 32z + -39 Combine like terms: 18z + 15z = 33z -42 + 33z = 10z + -3 + 32z + -39 Reorder the terms: -42 + 33z = -3 + -39 + 10z + 32z Combine like terms: -3 + -39 = -42 -42 + 33z = -42 + 10z + 32z Combine like terms: 10z + 32z = 42z -42 + 33z = -42 + 42z Add '42' to each side of the equation. -42 + 42 + 33z = -42 + 42 + 42z Combine like terms: -42 + 42 = 0 0 + 33z = -42 + 42 + 42z 33z = -42 + 42 + 42z Combine like terms: -42 + 42 = 0 33z = 0 + 42z 33z = 42z Solving 33z = 42z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42z' to each side of the equation. 33z + -42z = 42z + -42z Combine like terms: 33z + -42z = -9z -9z = 42z + -42z Combine like terms: 42z + -42z = 0 -9z = 0 Divide each side by '-9'. z = 0 Simplifying z = 0
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