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Simplifying 5(3n + 4) = 9(6n + 5) + 5 Reorder the terms: 5(4 + 3n) = 9(6n + 5) + 5 (4 * 5 + 3n * 5) = 9(6n + 5) + 5 (20 + 15n) = 9(6n + 5) + 5 Reorder the terms: 20 + 15n = 9(5 + 6n) + 5 20 + 15n = (5 * 9 + 6n * 9) + 5 20 + 15n = (45 + 54n) + 5 Reorder the terms: 20 + 15n = 45 + 5 + 54n Combine like terms: 45 + 5 = 50 20 + 15n = 50 + 54n Solving 20 + 15n = 50 + 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 = 50 + 54n + -54n Combine like terms: 15n + -54n = -39n 20 + -39n = 50 + 54n + -54n Combine like terms: 54n + -54n = 0 20 + -39n = 50 + 0 20 + -39n = 50 Add '-20' to each side of the equation. 20 + -20 + -39n = 50 + -20 Combine like terms: 20 + -20 = 0 0 + -39n = 50 + -20 -39n = 50 + -20 Combine like terms: 50 + -20 = 30 -39n = 30 Divide each side by '-39'. n = -0.7692307692 Simplifying n = -0.7692307692
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