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Simplifying 6n + 5(1 + -6n) = 2(1 + -13n) + 13 6n + (1 * 5 + -6n * 5) = 2(1 + -13n) + 13 6n + (5 + -30n) = 2(1 + -13n) + 13 Reorder the terms: 5 + 6n + -30n = 2(1 + -13n) + 13 Combine like terms: 6n + -30n = -24n 5 + -24n = 2(1 + -13n) + 13 5 + -24n = (1 * 2 + -13n * 2) + 13 5 + -24n = (2 + -26n) + 13 Reorder the terms: 5 + -24n = 2 + 13 + -26n Combine like terms: 2 + 13 = 15 5 + -24n = 15 + -26n Solving 5 + -24n = 15 + -26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26n' to each side of the equation. 5 + -24n + 26n = 15 + -26n + 26n Combine like terms: -24n + 26n = 2n 5 + 2n = 15 + -26n + 26n Combine like terms: -26n + 26n = 0 5 + 2n = 15 + 0 5 + 2n = 15 Add '-5' to each side of the equation. 5 + -5 + 2n = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 15 + -5 2n = 15 + -5 Combine like terms: 15 + -5 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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