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Simplifying -6(9n + 11) + 14(n + 12) = 12n + 5n Reorder the terms: -6(11 + 9n) + 14(n + 12) = 12n + 5n (11 * -6 + 9n * -6) + 14(n + 12) = 12n + 5n (-66 + -54n) + 14(n + 12) = 12n + 5n Reorder the terms: -66 + -54n + 14(12 + n) = 12n + 5n -66 + -54n + (12 * 14 + n * 14) = 12n + 5n -66 + -54n + (168 + 14n) = 12n + 5n Reorder the terms: -66 + 168 + -54n + 14n = 12n + 5n Combine like terms: -66 + 168 = 102 102 + -54n + 14n = 12n + 5n Combine like terms: -54n + 14n = -40n 102 + -40n = 12n + 5n Combine like terms: 12n + 5n = 17n 102 + -40n = 17n Solving 102 + -40n = 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. 102 + -40n + -17n = 17n + -17n Combine like terms: -40n + -17n = -57n 102 + -57n = 17n + -17n Combine like terms: 17n + -17n = 0 102 + -57n = 0 Add '-102' to each side of the equation. 102 + -102 + -57n = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -57n = 0 + -102 -57n = 0 + -102 Combine like terms: 0 + -102 = -102 -57n = -102 Divide each side by '-57'. n = 1.789473684 Simplifying n = 1.789473684
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