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Simplifying 9(2n + 1) = 8(5n + 1) + 6 Reorder the terms: 9(1 + 2n) = 8(5n + 1) + 6 (1 * 9 + 2n * 9) = 8(5n + 1) + 6 (9 + 18n) = 8(5n + 1) + 6 Reorder the terms: 9 + 18n = 8(1 + 5n) + 6 9 + 18n = (1 * 8 + 5n * 8) + 6 9 + 18n = (8 + 40n) + 6 Reorder the terms: 9 + 18n = 8 + 6 + 40n Combine like terms: 8 + 6 = 14 9 + 18n = 14 + 40n Solving 9 + 18n = 14 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 9 + 18n + -40n = 14 + 40n + -40n Combine like terms: 18n + -40n = -22n 9 + -22n = 14 + 40n + -40n Combine like terms: 40n + -40n = 0 9 + -22n = 14 + 0 9 + -22n = 14 Add '-9' to each side of the equation. 9 + -9 + -22n = 14 + -9 Combine like terms: 9 + -9 = 0 0 + -22n = 14 + -9 -22n = 14 + -9 Combine like terms: 14 + -9 = 5 -22n = 5 Divide each side by '-22'. n = -0.2272727273 Simplifying n = -0.2272727273
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