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Simplifying 9(3n + 1) = 6(7n + 9) + 8 Reorder the terms: 9(1 + 3n) = 6(7n + 9) + 8 (1 * 9 + 3n * 9) = 6(7n + 9) + 8 (9 + 27n) = 6(7n + 9) + 8 Reorder the terms: 9 + 27n = 6(9 + 7n) + 8 9 + 27n = (9 * 6 + 7n * 6) + 8 9 + 27n = (54 + 42n) + 8 Reorder the terms: 9 + 27n = 54 + 8 + 42n Combine like terms: 54 + 8 = 62 9 + 27n = 62 + 42n Solving 9 + 27n = 62 + 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 + 27n + -42n = 62 + 42n + -42n Combine like terms: 27n + -42n = -15n 9 + -15n = 62 + 42n + -42n Combine like terms: 42n + -42n = 0 9 + -15n = 62 + 0 9 + -15n = 62 Add '-9' to each side of the equation. 9 + -9 + -15n = 62 + -9 Combine like terms: 9 + -9 = 0 0 + -15n = 62 + -9 -15n = 62 + -9 Combine like terms: 62 + -9 = 53 -15n = 53 Divide each side by '-15'. n = -3.533333333 Simplifying n = -3.533333333
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