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Simplifying (1 + -1z) * 9 = 27 Reorder the terms for easier multiplication: 9(1 + -1z) = 27 (1 * 9 + -1z * 9) = 27 (9 + -9z) = 27 Solving 9 + -9z = 27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -9z = 27 + -9 Combine like terms: 9 + -9 = 0 0 + -9z = 27 + -9 -9z = 27 + -9 Combine like terms: 27 + -9 = 18 -9z = 18 Divide each side by '-9'. z = -2 Simplifying z = -2
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