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Simplifying 4(3n + 2) = 9(6n + 9) + 5 Reorder the terms: 4(2 + 3n) = 9(6n + 9) + 5 (2 * 4 + 3n * 4) = 9(6n + 9) + 5 (8 + 12n) = 9(6n + 9) + 5 Reorder the terms: 8 + 12n = 9(9 + 6n) + 5 8 + 12n = (9 * 9 + 6n * 9) + 5 8 + 12n = (81 + 54n) + 5 Reorder the terms: 8 + 12n = 81 + 5 + 54n Combine like terms: 81 + 5 = 86 8 + 12n = 86 + 54n Solving 8 + 12n = 86 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 8 + 12n + -54n = 86 + 54n + -54n Combine like terms: 12n + -54n = -42n 8 + -42n = 86 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -42n = 86 + 0 8 + -42n = 86 Add '-8' to each side of the equation. 8 + -8 + -42n = 86 + -8 Combine like terms: 8 + -8 = 0 0 + -42n = 86 + -8 -42n = 86 + -8 Combine like terms: 86 + -8 = 78 -42n = 78 Divide each side by '-42'. n = -1.857142857 Simplifying n = -1.857142857
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