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Simplifying 7(2n + 3) = 7(9n + 4) + 3 Reorder the terms: 7(3 + 2n) = 7(9n + 4) + 3 (3 * 7 + 2n * 7) = 7(9n + 4) + 3 (21 + 14n) = 7(9n + 4) + 3 Reorder the terms: 21 + 14n = 7(4 + 9n) + 3 21 + 14n = (4 * 7 + 9n * 7) + 3 21 + 14n = (28 + 63n) + 3 Reorder the terms: 21 + 14n = 28 + 3 + 63n Combine like terms: 28 + 3 = 31 21 + 14n = 31 + 63n Solving 21 + 14n = 31 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 21 + 14n + -63n = 31 + 63n + -63n Combine like terms: 14n + -63n = -49n 21 + -49n = 31 + 63n + -63n Combine like terms: 63n + -63n = 0 21 + -49n = 31 + 0 21 + -49n = 31 Add '-21' to each side of the equation. 21 + -21 + -49n = 31 + -21 Combine like terms: 21 + -21 = 0 0 + -49n = 31 + -21 -49n = 31 + -21 Combine like terms: 31 + -21 = 10 -49n = 10 Divide each side by '-49'. n = -0.2040816327 Simplifying n = -0.2040816327
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