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Simplifying -3z + 8(9 + z) = 27 -3z + (9 * 8 + z * 8) = 27 -3z + (72 + 8z) = 27 Reorder the terms: 72 + -3z + 8z = 27 Combine like terms: -3z + 8z = 5z 72 + 5z = 27 Solving 72 + 5z = 27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 5z = 27 + -72 Combine like terms: 72 + -72 = 0 0 + 5z = 27 + -72 5z = 27 + -72 Combine like terms: 27 + -72 = -45 5z = -45 Divide each side by '5'. z = -9 Simplifying z = -9
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