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Simplifying 6n + 2(5n + 4) = 40 Reorder the terms: 6n + 2(4 + 5n) = 40 6n + (4 * 2 + 5n * 2) = 40 6n + (8 + 10n) = 40 Reorder the terms: 8 + 6n + 10n = 40 Combine like terms: 6n + 10n = 16n 8 + 16n = 40 Solving 8 + 16n = 40 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 + 16n = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 16n = 40 + -8 16n = 40 + -8 Combine like terms: 40 + -8 = 32 16n = 32 Divide each side by '16'. n = 2 Simplifying n = 2
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