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Simplifying 5(3n + 1) = 6(9n + 3) + 4 Reorder the terms: 5(1 + 3n) = 6(9n + 3) + 4 (1 * 5 + 3n * 5) = 6(9n + 3) + 4 (5 + 15n) = 6(9n + 3) + 4 Reorder the terms: 5 + 15n = 6(3 + 9n) + 4 5 + 15n = (3 * 6 + 9n * 6) + 4 5 + 15n = (18 + 54n) + 4 Reorder the terms: 5 + 15n = 18 + 4 + 54n Combine like terms: 18 + 4 = 22 5 + 15n = 22 + 54n Solving 5 + 15n = 22 + 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 = 22 + 54n + -54n Combine like terms: 15n + -54n = -39n 5 + -39n = 22 + 54n + -54n Combine like terms: 54n + -54n = 0 5 + -39n = 22 + 0 5 + -39n = 22 Add '-5' to each side of the equation. 5 + -5 + -39n = 22 + -5 Combine like terms: 5 + -5 = 0 0 + -39n = 22 + -5 -39n = 22 + -5 Combine like terms: 22 + -5 = 17 -39n = 17 Divide each side by '-39'. n = -0.4358974359 Simplifying n = -0.4358974359
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