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Simplifying 2(2n + 4) + -2n = 32 Reorder the terms: 2(4 + 2n) + -2n = 32 (4 * 2 + 2n * 2) + -2n = 32 (8 + 4n) + -2n = 32 Combine like terms: 4n + -2n = 2n 8 + 2n = 32 Solving 8 + 2n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2n = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 2n = 32 + -8 2n = 32 + -8 Combine like terms: 32 + -8 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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