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Simplifying 4(n + 3) + 2(n + 8) = 40 Reorder the terms: 4(3 + n) + 2(n + 8) = 40 (3 * 4 + n * 4) + 2(n + 8) = 40 (12 + 4n) + 2(n + 8) = 40 Reorder the terms: 12 + 4n + 2(8 + n) = 40 12 + 4n + (8 * 2 + n * 2) = 40 12 + 4n + (16 + 2n) = 40 Reorder the terms: 12 + 16 + 4n + 2n = 40 Combine like terms: 12 + 16 = 28 28 + 4n + 2n = 40 Combine like terms: 4n + 2n = 6n 28 + 6n = 40 Solving 28 + 6n = 40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 6n = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 6n = 40 + -28 6n = 40 + -28 Combine like terms: 40 + -28 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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