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Simplifying 2(2n + 4) = 8(7n + 1) + 7 Reorder the terms: 2(4 + 2n) = 8(7n + 1) + 7 (4 * 2 + 2n * 2) = 8(7n + 1) + 7 (8 + 4n) = 8(7n + 1) + 7 Reorder the terms: 8 + 4n = 8(1 + 7n) + 7 8 + 4n = (1 * 8 + 7n * 8) + 7 8 + 4n = (8 + 56n) + 7 Reorder the terms: 8 + 4n = 8 + 7 + 56n Combine like terms: 8 + 7 = 15 8 + 4n = 15 + 56n Solving 8 + 4n = 15 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 8 + 4n + -56n = 15 + 56n + -56n Combine like terms: 4n + -56n = -52n 8 + -52n = 15 + 56n + -56n Combine like terms: 56n + -56n = 0 8 + -52n = 15 + 0 8 + -52n = 15 Add '-8' to each side of the equation. 8 + -8 + -52n = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -52n = 15 + -8 -52n = 15 + -8 Combine like terms: 15 + -8 = 7 -52n = 7 Divide each side by '-52'. n = -0.1346153846 Simplifying n = -0.1346153846
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