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Simplifying 18z + 42 + 15z = 10z + -3 + 32z + -36 Reorder the terms: 42 + 18z + 15z = 10z + -3 + 32z + -36 Combine like terms: 18z + 15z = 33z 42 + 33z = 10z + -3 + 32z + -36 Reorder the terms: 42 + 33z = -3 + -36 + 10z + 32z Combine like terms: -3 + -36 = -39 42 + 33z = -39 + 10z + 32z Combine like terms: 10z + 32z = 42z 42 + 33z = -39 + 42z Solving 42 + 33z = -39 + 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. 42 + 33z + -42z = -39 + 42z + -42z Combine like terms: 33z + -42z = -9z 42 + -9z = -39 + 42z + -42z Combine like terms: 42z + -42z = 0 42 + -9z = -39 + 0 42 + -9z = -39 Add '-42' to each side of the equation. 42 + -42 + -9z = -39 + -42 Combine like terms: 42 + -42 = 0 0 + -9z = -39 + -42 -9z = -39 + -42 Combine like terms: -39 + -42 = -81 -9z = -81 Divide each side by '-9'. z = 9 Simplifying z = 9
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