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Simplifying 9z + 27 = 6z + 39 Reorder the terms: 27 + 9z = 6z + 39 Reorder the terms: 27 + 9z = 39 + 6z Solving 27 + 9z = 39 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 27 + 9z + -6z = 39 + 6z + -6z Combine like terms: 9z + -6z = 3z 27 + 3z = 39 + 6z + -6z Combine like terms: 6z + -6z = 0 27 + 3z = 39 + 0 27 + 3z = 39 Add '-27' to each side of the equation. 27 + -27 + 3z = 39 + -27 Combine like terms: 27 + -27 = 0 0 + 3z = 39 + -27 3z = 39 + -27 Combine like terms: 39 + -27 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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