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Simplifying 4(3n + 1) = 7(7n + 2) + 3 Reorder the terms: 4(1 + 3n) = 7(7n + 2) + 3 (1 * 4 + 3n * 4) = 7(7n + 2) + 3 (4 + 12n) = 7(7n + 2) + 3 Reorder the terms: 4 + 12n = 7(2 + 7n) + 3 4 + 12n = (2 * 7 + 7n * 7) + 3 4 + 12n = (14 + 49n) + 3 Reorder the terms: 4 + 12n = 14 + 3 + 49n Combine like terms: 14 + 3 = 17 4 + 12n = 17 + 49n Solving 4 + 12n = 17 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 4 + 12n + -49n = 17 + 49n + -49n Combine like terms: 12n + -49n = -37n 4 + -37n = 17 + 49n + -49n Combine like terms: 49n + -49n = 0 4 + -37n = 17 + 0 4 + -37n = 17 Add '-4' to each side of the equation. 4 + -4 + -37n = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -37n = 17 + -4 -37n = 17 + -4 Combine like terms: 17 + -4 = 13 -37n = 13 Divide each side by '-37'. n = -0.3513513514 Simplifying n = -0.3513513514
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