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Simplifying 5(3n + 3) = 9(6n + 3) + 5 Reorder the terms: 5(3 + 3n) = 9(6n + 3) + 5 (3 * 5 + 3n * 5) = 9(6n + 3) + 5 (15 + 15n) = 9(6n + 3) + 5 Reorder the terms: 15 + 15n = 9(3 + 6n) + 5 15 + 15n = (3 * 9 + 6n * 9) + 5 15 + 15n = (27 + 54n) + 5 Reorder the terms: 15 + 15n = 27 + 5 + 54n Combine like terms: 27 + 5 = 32 15 + 15n = 32 + 54n Solving 15 + 15n = 32 + 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. 15 + 15n + -54n = 32 + 54n + -54n Combine like terms: 15n + -54n = -39n 15 + -39n = 32 + 54n + -54n Combine like terms: 54n + -54n = 0 15 + -39n = 32 + 0 15 + -39n = 32 Add '-15' to each side of the equation. 15 + -15 + -39n = 32 + -15 Combine like terms: 15 + -15 = 0 0 + -39n = 32 + -15 -39n = 32 + -15 Combine like terms: 32 + -15 = 17 -39n = 17 Divide each side by '-39'. n = -0.4358974359 Simplifying n = -0.4358974359
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