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Simplifying 8(z + 9) = 9z + -1 Reorder the terms: 8(9 + z) = 9z + -1 (9 * 8 + z * 8) = 9z + -1 (72 + 8z) = 9z + -1 Reorder the terms: 72 + 8z = -1 + 9z Solving 72 + 8z = -1 + 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. 72 + 8z + -9z = -1 + 9z + -9z Combine like terms: 8z + -9z = -1z 72 + -1z = -1 + 9z + -9z Combine like terms: 9z + -9z = 0 72 + -1z = -1 + 0 72 + -1z = -1 Add '-72' to each side of the equation. 72 + -72 + -1z = -1 + -72 Combine like terms: 72 + -72 = 0 0 + -1z = -1 + -72 -1z = -1 + -72 Combine like terms: -1 + -72 = -73 -1z = -73 Divide each side by '-1'. z = 73 Simplifying z = 73
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