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Simplifying 9(2n + 1) = 8(8n + 9) + 5 Reorder the terms: 9(1 + 2n) = 8(8n + 9) + 5 (1 * 9 + 2n * 9) = 8(8n + 9) + 5 (9 + 18n) = 8(8n + 9) + 5 Reorder the terms: 9 + 18n = 8(9 + 8n) + 5 9 + 18n = (9 * 8 + 8n * 8) + 5 9 + 18n = (72 + 64n) + 5 Reorder the terms: 9 + 18n = 72 + 5 + 64n Combine like terms: 72 + 5 = 77 9 + 18n = 77 + 64n Solving 9 + 18n = 77 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 9 + 18n + -64n = 77 + 64n + -64n Combine like terms: 18n + -64n = -46n 9 + -46n = 77 + 64n + -64n Combine like terms: 64n + -64n = 0 9 + -46n = 77 + 0 9 + -46n = 77 Add '-9' to each side of the equation. 9 + -9 + -46n = 77 + -9 Combine like terms: 9 + -9 = 0 0 + -46n = 77 + -9 -46n = 77 + -9 Combine like terms: 77 + -9 = 68 -46n = 68 Divide each side by '-46'. n = -1.47826087 Simplifying n = -1.47826087
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