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Simplifying 9(z + 1) = 8z Reorder the terms: 9(1 + z) = 8z (1 * 9 + z * 9) = 8z (9 + 9z) = 8z Solving 9 + 9z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 9 + 9z + -8z = 8z + -8z Combine like terms: 9z + -8z = 1z 9 + 1z = 8z + -8z Combine like terms: 8z + -8z = 0 9 + 1z = 0 Add '-9' to each side of the equation. 9 + -9 + 1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 0 + -9 1z = 0 + -9 Combine like terms: 0 + -9 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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