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Simplifying 9(3n + 1) = 8(6n + 1) + 7 Reorder the terms: 9(1 + 3n) = 8(6n + 1) + 7 (1 * 9 + 3n * 9) = 8(6n + 1) + 7 (9 + 27n) = 8(6n + 1) + 7 Reorder the terms: 9 + 27n = 8(1 + 6n) + 7 9 + 27n = (1 * 8 + 6n * 8) + 7 9 + 27n = (8 + 48n) + 7 Reorder the terms: 9 + 27n = 8 + 7 + 48n Combine like terms: 8 + 7 = 15 9 + 27n = 15 + 48n Solving 9 + 27n = 15 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 9 + 27n + -48n = 15 + 48n + -48n Combine like terms: 27n + -48n = -21n 9 + -21n = 15 + 48n + -48n Combine like terms: 48n + -48n = 0 9 + -21n = 15 + 0 9 + -21n = 15 Add '-9' to each side of the equation. 9 + -9 + -21n = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -21n = 15 + -9 -21n = 15 + -9 Combine like terms: 15 + -9 = 6 -21n = 6 Divide each side by '-21'. n = -0.2857142857 Simplifying n = -0.2857142857
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