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Simplifying 3(2n + 1) + -2(1 + -3n) = 13 Reorder the terms: 3(1 + 2n) + -2(1 + -3n) = 13 (1 * 3 + 2n * 3) + -2(1 + -3n) = 13 (3 + 6n) + -2(1 + -3n) = 13 3 + 6n + (1 * -2 + -3n * -2) = 13 3 + 6n + (-2 + 6n) = 13 Reorder the terms: 3 + -2 + 6n + 6n = 13 Combine like terms: 3 + -2 = 1 1 + 6n + 6n = 13 Combine like terms: 6n + 6n = 12n 1 + 12n = 13 Solving 1 + 12n = 13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12n = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 12n = 13 + -1 12n = 13 + -1 Combine like terms: 13 + -1 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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