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Simplifying 12n = 8 + 2(5n + 3) Reorder the terms: 12n = 8 + 2(3 + 5n) 12n = 8 + (3 * 2 + 5n * 2) 12n = 8 + (6 + 10n) Combine like terms: 8 + 6 = 14 12n = 14 + 10n Solving 12n = 14 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 12n + -10n = 14 + 10n + -10n Combine like terms: 12n + -10n = 2n 2n = 14 + 10n + -10n Combine like terms: 10n + -10n = 0 2n = 14 + 0 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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