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Simplifying 6(2n + 3) = 6(7n + 2) + 1 Reorder the terms: 6(3 + 2n) = 6(7n + 2) + 1 (3 * 6 + 2n * 6) = 6(7n + 2) + 1 (18 + 12n) = 6(7n + 2) + 1 Reorder the terms: 18 + 12n = 6(2 + 7n) + 1 18 + 12n = (2 * 6 + 7n * 6) + 1 18 + 12n = (12 + 42n) + 1 Reorder the terms: 18 + 12n = 12 + 1 + 42n Combine like terms: 12 + 1 = 13 18 + 12n = 13 + 42n Solving 18 + 12n = 13 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 18 + 12n + -42n = 13 + 42n + -42n Combine like terms: 12n + -42n = -30n 18 + -30n = 13 + 42n + -42n Combine like terms: 42n + -42n = 0 18 + -30n = 13 + 0 18 + -30n = 13 Add '-18' to each side of the equation. 18 + -18 + -30n = 13 + -18 Combine like terms: 18 + -18 = 0 0 + -30n = 13 + -18 -30n = 13 + -18 Combine like terms: 13 + -18 = -5 -30n = -5 Divide each side by '-30'. n = 0.1666666667 Simplifying n = 0.1666666667
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