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Simplifying 9(2n + 1) = 6(7n + 8) + 8 Reorder the terms: 9(1 + 2n) = 6(7n + 8) + 8 (1 * 9 + 2n * 9) = 6(7n + 8) + 8 (9 + 18n) = 6(7n + 8) + 8 Reorder the terms: 9 + 18n = 6(8 + 7n) + 8 9 + 18n = (8 * 6 + 7n * 6) + 8 9 + 18n = (48 + 42n) + 8 Reorder the terms: 9 + 18n = 48 + 8 + 42n Combine like terms: 48 + 8 = 56 9 + 18n = 56 + 42n Solving 9 + 18n = 56 + 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. 9 + 18n + -42n = 56 + 42n + -42n Combine like terms: 18n + -42n = -24n 9 + -24n = 56 + 42n + -42n Combine like terms: 42n + -42n = 0 9 + -24n = 56 + 0 9 + -24n = 56 Add '-9' to each side of the equation. 9 + -9 + -24n = 56 + -9 Combine like terms: 9 + -9 = 0 0 + -24n = 56 + -9 -24n = 56 + -9 Combine like terms: 56 + -9 = 47 -24n = 47 Divide each side by '-24'. n = -1.958333333 Simplifying n = -1.958333333
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