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Simplifying 7(2n + 3) = 7(7n + 4) + 4 Reorder the terms: 7(3 + 2n) = 7(7n + 4) + 4 (3 * 7 + 2n * 7) = 7(7n + 4) + 4 (21 + 14n) = 7(7n + 4) + 4 Reorder the terms: 21 + 14n = 7(4 + 7n) + 4 21 + 14n = (4 * 7 + 7n * 7) + 4 21 + 14n = (28 + 49n) + 4 Reorder the terms: 21 + 14n = 28 + 4 + 49n Combine like terms: 28 + 4 = 32 21 + 14n = 32 + 49n Solving 21 + 14n = 32 + 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. 21 + 14n + -49n = 32 + 49n + -49n Combine like terms: 14n + -49n = -35n 21 + -35n = 32 + 49n + -49n Combine like terms: 49n + -49n = 0 21 + -35n = 32 + 0 21 + -35n = 32 Add '-21' to each side of the equation. 21 + -21 + -35n = 32 + -21 Combine like terms: 21 + -21 = 0 0 + -35n = 32 + -21 -35n = 32 + -21 Combine like terms: 32 + -21 = 11 -35n = 11 Divide each side by '-35'. n = -0.3142857143 Simplifying n = -0.3142857143
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