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Simplifying 9(3n + 3) = 7(8n + 6) + 6 Reorder the terms: 9(3 + 3n) = 7(8n + 6) + 6 (3 * 9 + 3n * 9) = 7(8n + 6) + 6 (27 + 27n) = 7(8n + 6) + 6 Reorder the terms: 27 + 27n = 7(6 + 8n) + 6 27 + 27n = (6 * 7 + 8n * 7) + 6 27 + 27n = (42 + 56n) + 6 Reorder the terms: 27 + 27n = 42 + 6 + 56n Combine like terms: 42 + 6 = 48 27 + 27n = 48 + 56n Solving 27 + 27n = 48 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 27 + 27n + -56n = 48 + 56n + -56n Combine like terms: 27n + -56n = -29n 27 + -29n = 48 + 56n + -56n Combine like terms: 56n + -56n = 0 27 + -29n = 48 + 0 27 + -29n = 48 Add '-27' to each side of the equation. 27 + -27 + -29n = 48 + -27 Combine like terms: 27 + -27 = 0 0 + -29n = 48 + -27 -29n = 48 + -27 Combine like terms: 48 + -27 = 21 -29n = 21 Divide each side by '-29'. n = -0.724137931 Simplifying n = -0.724137931
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