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Simplifying 9(3n + 3) = 8(8n + 6) + 7 Reorder the terms: 9(3 + 3n) = 8(8n + 6) + 7 (3 * 9 + 3n * 9) = 8(8n + 6) + 7 (27 + 27n) = 8(8n + 6) + 7 Reorder the terms: 27 + 27n = 8(6 + 8n) + 7 27 + 27n = (6 * 8 + 8n * 8) + 7 27 + 27n = (48 + 64n) + 7 Reorder the terms: 27 + 27n = 48 + 7 + 64n Combine like terms: 48 + 7 = 55 27 + 27n = 55 + 64n Solving 27 + 27n = 55 + 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. 27 + 27n + -64n = 55 + 64n + -64n Combine like terms: 27n + -64n = -37n 27 + -37n = 55 + 64n + -64n Combine like terms: 64n + -64n = 0 27 + -37n = 55 + 0 27 + -37n = 55 Add '-27' to each side of the equation. 27 + -27 + -37n = 55 + -27 Combine like terms: 27 + -27 = 0 0 + -37n = 55 + -27 -37n = 55 + -27 Combine like terms: 55 + -27 = 28 -37n = 28 Divide each side by '-37'. n = -0.7567567568 Simplifying n = -0.7567567568
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