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Simplifying 5(3n + 1) = 6(9n + 8) + 8 Reorder the terms: 5(1 + 3n) = 6(9n + 8) + 8 (1 * 5 + 3n * 5) = 6(9n + 8) + 8 (5 + 15n) = 6(9n + 8) + 8 Reorder the terms: 5 + 15n = 6(8 + 9n) + 8 5 + 15n = (8 * 6 + 9n * 6) + 8 5 + 15n = (48 + 54n) + 8 Reorder the terms: 5 + 15n = 48 + 8 + 54n Combine like terms: 48 + 8 = 56 5 + 15n = 56 + 54n Solving 5 + 15n = 56 + 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. 5 + 15n + -54n = 56 + 54n + -54n Combine like terms: 15n + -54n = -39n 5 + -39n = 56 + 54n + -54n Combine like terms: 54n + -54n = 0 5 + -39n = 56 + 0 5 + -39n = 56 Add '-5' to each side of the equation. 5 + -5 + -39n = 56 + -5 Combine like terms: 5 + -5 = 0 0 + -39n = 56 + -5 -39n = 56 + -5 Combine like terms: 56 + -5 = 51 -39n = 51 Divide each side by '-39'. n = -1.307692308 Simplifying n = -1.307692308
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