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Simplifying 4(3n + 2) = 6(9n + 8) + 9 Reorder the terms: 4(2 + 3n) = 6(9n + 8) + 9 (2 * 4 + 3n * 4) = 6(9n + 8) + 9 (8 + 12n) = 6(9n + 8) + 9 Reorder the terms: 8 + 12n = 6(8 + 9n) + 9 8 + 12n = (8 * 6 + 9n * 6) + 9 8 + 12n = (48 + 54n) + 9 Reorder the terms: 8 + 12n = 48 + 9 + 54n Combine like terms: 48 + 9 = 57 8 + 12n = 57 + 54n Solving 8 + 12n = 57 + 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 = 57 + 54n + -54n Combine like terms: 12n + -54n = -42n 8 + -42n = 57 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -42n = 57 + 0 8 + -42n = 57 Add '-8' to each side of the equation. 8 + -8 + -42n = 57 + -8 Combine like terms: 8 + -8 = 0 0 + -42n = 57 + -8 -42n = 57 + -8 Combine like terms: 57 + -8 = 49 -42n = 49 Divide each side by '-42'. n = -1.166666667 Simplifying n = -1.166666667
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