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Simplifying 27z + 21 = 22 + -4z Reorder the terms: 21 + 27z = 22 + -4z Solving 21 + 27z = 22 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 21 + 27z + 4z = 22 + -4z + 4z Combine like terms: 27z + 4z = 31z 21 + 31z = 22 + -4z + 4z Combine like terms: -4z + 4z = 0 21 + 31z = 22 + 0 21 + 31z = 22 Add '-21' to each side of the equation. 21 + -21 + 31z = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 31z = 22 + -21 31z = 22 + -21 Combine like terms: 22 + -21 = 1 31z = 1 Divide each side by '31'. z = 0.03225806452 Simplifying z = 0.03225806452
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