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Simplifying 9(2n + 4) = 6(6n + 1) + 7 Reorder the terms: 9(4 + 2n) = 6(6n + 1) + 7 (4 * 9 + 2n * 9) = 6(6n + 1) + 7 (36 + 18n) = 6(6n + 1) + 7 Reorder the terms: 36 + 18n = 6(1 + 6n) + 7 36 + 18n = (1 * 6 + 6n * 6) + 7 36 + 18n = (6 + 36n) + 7 Reorder the terms: 36 + 18n = 6 + 7 + 36n Combine like terms: 6 + 7 = 13 36 + 18n = 13 + 36n Solving 36 + 18n = 13 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 36 + 18n + -36n = 13 + 36n + -36n Combine like terms: 18n + -36n = -18n 36 + -18n = 13 + 36n + -36n Combine like terms: 36n + -36n = 0 36 + -18n = 13 + 0 36 + -18n = 13 Add '-36' to each side of the equation. 36 + -36 + -18n = 13 + -36 Combine like terms: 36 + -36 = 0 0 + -18n = 13 + -36 -18n = 13 + -36 Combine like terms: 13 + -36 = -23 -18n = -23 Divide each side by '-18'. n = 1.277777778 Simplifying n = 1.277777778
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