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Simplifying 8(z + 1) = 9z + -9 Reorder the terms: 8(1 + z) = 9z + -9 (1 * 8 + z * 8) = 9z + -9 (8 + 8z) = 9z + -9 Reorder the terms: 8 + 8z = -9 + 9z Solving 8 + 8z = -9 + 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. 8 + 8z + -9z = -9 + 9z + -9z Combine like terms: 8z + -9z = -1z 8 + -1z = -9 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + -1z = -9 + 0 8 + -1z = -9 Add '-8' to each side of the equation. 8 + -8 + -1z = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = -9 + -8 -1z = -9 + -8 Combine like terms: -9 + -8 = -17 -1z = -17 Divide each side by '-1'. z = 17 Simplifying z = 17
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