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Simplifying 5(3n + 4) = 6(9n + 4) + 2 Reorder the terms: 5(4 + 3n) = 6(9n + 4) + 2 (4 * 5 + 3n * 5) = 6(9n + 4) + 2 (20 + 15n) = 6(9n + 4) + 2 Reorder the terms: 20 + 15n = 6(4 + 9n) + 2 20 + 15n = (4 * 6 + 9n * 6) + 2 20 + 15n = (24 + 54n) + 2 Reorder the terms: 20 + 15n = 24 + 2 + 54n Combine like terms: 24 + 2 = 26 20 + 15n = 26 + 54n Solving 20 + 15n = 26 + 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. 20 + 15n + -54n = 26 + 54n + -54n Combine like terms: 15n + -54n = -39n 20 + -39n = 26 + 54n + -54n Combine like terms: 54n + -54n = 0 20 + -39n = 26 + 0 20 + -39n = 26 Add '-20' to each side of the equation. 20 + -20 + -39n = 26 + -20 Combine like terms: 20 + -20 = 0 0 + -39n = 26 + -20 -39n = 26 + -20 Combine like terms: 26 + -20 = 6 -39n = 6 Divide each side by '-39'. n = -0.1538461538 Simplifying n = -0.1538461538
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