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Simplifying 3(9 + z) = 42 (9 * 3 + z * 3) = 42 (27 + 3z) = 42 Solving 27 + 3z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3z = 42 + -27 Combine like terms: 27 + -27 = 0 0 + 3z = 42 + -27 3z = 42 + -27 Combine like terms: 42 + -27 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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