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Simplifying 9(z + 2) = 42 + -1z Reorder the terms: 9(2 + z) = 42 + -1z (2 * 9 + z * 9) = 42 + -1z (18 + 9z) = 42 + -1z Solving 18 + 9z = 42 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 18 + 9z + z = 42 + -1z + z Combine like terms: 9z + z = 10z 18 + 10z = 42 + -1z + z Combine like terms: -1z + z = 0 18 + 10z = 42 + 0 18 + 10z = 42 Add '-18' to each side of the equation. 18 + -18 + 10z = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 10z = 42 + -18 10z = 42 + -18 Combine like terms: 42 + -18 = 24 10z = 24 Divide each side by '10'. z = 2.4 Simplifying z = 2.4
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