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Simplifying 9(3n + 2) = 8(8n + 1) + 8 Reorder the terms: 9(2 + 3n) = 8(8n + 1) + 8 (2 * 9 + 3n * 9) = 8(8n + 1) + 8 (18 + 27n) = 8(8n + 1) + 8 Reorder the terms: 18 + 27n = 8(1 + 8n) + 8 18 + 27n = (1 * 8 + 8n * 8) + 8 18 + 27n = (8 + 64n) + 8 Reorder the terms: 18 + 27n = 8 + 8 + 64n Combine like terms: 8 + 8 = 16 18 + 27n = 16 + 64n Solving 18 + 27n = 16 + 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. 18 + 27n + -64n = 16 + 64n + -64n Combine like terms: 27n + -64n = -37n 18 + -37n = 16 + 64n + -64n Combine like terms: 64n + -64n = 0 18 + -37n = 16 + 0 18 + -37n = 16 Add '-18' to each side of the equation. 18 + -18 + -37n = 16 + -18 Combine like terms: 18 + -18 = 0 0 + -37n = 16 + -18 -37n = 16 + -18 Combine like terms: 16 + -18 = -2 -37n = -2 Divide each side by '-37'. n = 0.05405405405 Simplifying n = 0.05405405405
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