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Simplifying 2(z + 5) = 32 + 14 Reorder the terms: 2(5 + z) = 32 + 14 (5 * 2 + z * 2) = 32 + 14 (10 + 2z) = 32 + 14 Combine like terms: 32 + 14 = 46 10 + 2z = 46 Solving 10 + 2z = 46 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2z = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = 46 + -10 2z = 46 + -10 Combine like terms: 46 + -10 = 36 2z = 36 Divide each side by '2'. z = 18 Simplifying z = 18
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