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Simplifying 3(4n + 1) + -2n = 23 Reorder the terms: 3(1 + 4n) + -2n = 23 (1 * 3 + 4n * 3) + -2n = 23 (3 + 12n) + -2n = 23 Combine like terms: 12n + -2n = 10n 3 + 10n = 23 Solving 3 + 10n = 23 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10n = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 10n = 23 + -3 10n = 23 + -3 Combine like terms: 23 + -3 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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