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Simplifying 42 + 9 = 9z + -27 Combine like terms: 42 + 9 = 51 51 = 9z + -27 Reorder the terms: 51 = -27 + 9z Solving 51 = -27 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 51 + -9z = -27 + 9z + -9z Combine like terms: 9z + -9z = 0 51 + -9z = -27 + 0 51 + -9z = -27 Add '-51' to each side of the equation. 51 + -51 + -9z = -27 + -51 Combine like terms: 51 + -51 = 0 0 + -9z = -27 + -51 -9z = -27 + -51 Combine like terms: -27 + -51 = -78 -9z = -78 Divide each side by '-9'. z = 8.666666667 Simplifying z = 8.666666667
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