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Simplifying 3 + 2(3n + 1) + 4n = 15 Reorder the terms: 3 + 2(1 + 3n) + 4n = 15 3 + (1 * 2 + 3n * 2) + 4n = 15 3 + (2 + 6n) + 4n = 15 Combine like terms: 3 + 2 = 5 5 + 6n + 4n = 15 Combine like terms: 6n + 4n = 10n 5 + 10n = 15 Solving 5 + 10n = 15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10n = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 10n = 15 + -5 10n = 15 + -5 Combine like terms: 15 + -5 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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