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Simplifying 3(2n + 5) = 7(4n + 3) + 3 Reorder the terms: 3(5 + 2n) = 7(4n + 3) + 3 (5 * 3 + 2n * 3) = 7(4n + 3) + 3 (15 + 6n) = 7(4n + 3) + 3 Reorder the terms: 15 + 6n = 7(3 + 4n) + 3 15 + 6n = (3 * 7 + 4n * 7) + 3 15 + 6n = (21 + 28n) + 3 Reorder the terms: 15 + 6n = 21 + 3 + 28n Combine like terms: 21 + 3 = 24 15 + 6n = 24 + 28n Solving 15 + 6n = 24 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 15 + 6n + -28n = 24 + 28n + -28n Combine like terms: 6n + -28n = -22n 15 + -22n = 24 + 28n + -28n Combine like terms: 28n + -28n = 0 15 + -22n = 24 + 0 15 + -22n = 24 Add '-15' to each side of the equation. 15 + -15 + -22n = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -22n = 24 + -15 -22n = 24 + -15 Combine like terms: 24 + -15 = 9 -22n = 9 Divide each side by '-22'. n = -0.4090909091 Simplifying n = -0.4090909091
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