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Simplifying 7(2n + 3) = 9(4n + 9) + 3 Reorder the terms: 7(3 + 2n) = 9(4n + 9) + 3 (3 * 7 + 2n * 7) = 9(4n + 9) + 3 (21 + 14n) = 9(4n + 9) + 3 Reorder the terms: 21 + 14n = 9(9 + 4n) + 3 21 + 14n = (9 * 9 + 4n * 9) + 3 21 + 14n = (81 + 36n) + 3 Reorder the terms: 21 + 14n = 81 + 3 + 36n Combine like terms: 81 + 3 = 84 21 + 14n = 84 + 36n Solving 21 + 14n = 84 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 21 + 14n + -36n = 84 + 36n + -36n Combine like terms: 14n + -36n = -22n 21 + -22n = 84 + 36n + -36n Combine like terms: 36n + -36n = 0 21 + -22n = 84 + 0 21 + -22n = 84 Add '-21' to each side of the equation. 21 + -21 + -22n = 84 + -21 Combine like terms: 21 + -21 = 0 0 + -22n = 84 + -21 -22n = 84 + -21 Combine like terms: 84 + -21 = 63 -22n = 63 Divide each side by '-22'. n = -2.863636364 Simplifying n = -2.863636364
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