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Simplifying 9(2n + 2) = 6(6n + 7) + 8 Reorder the terms: 9(2 + 2n) = 6(6n + 7) + 8 (2 * 9 + 2n * 9) = 6(6n + 7) + 8 (18 + 18n) = 6(6n + 7) + 8 Reorder the terms: 18 + 18n = 6(7 + 6n) + 8 18 + 18n = (7 * 6 + 6n * 6) + 8 18 + 18n = (42 + 36n) + 8 Reorder the terms: 18 + 18n = 42 + 8 + 36n Combine like terms: 42 + 8 = 50 18 + 18n = 50 + 36n Solving 18 + 18n = 50 + 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. 18 + 18n + -36n = 50 + 36n + -36n Combine like terms: 18n + -36n = -18n 18 + -18n = 50 + 36n + -36n Combine like terms: 36n + -36n = 0 18 + -18n = 50 + 0 18 + -18n = 50 Add '-18' to each side of the equation. 18 + -18 + -18n = 50 + -18 Combine like terms: 18 + -18 = 0 0 + -18n = 50 + -18 -18n = 50 + -18 Combine like terms: 50 + -18 = 32 -18n = 32 Divide each side by '-18'. n = -1.777777778 Simplifying n = -1.777777778
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