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Simplifying 2(2n + 2) = 8(7n + 4) + 2 Reorder the terms: 2(2 + 2n) = 8(7n + 4) + 2 (2 * 2 + 2n * 2) = 8(7n + 4) + 2 (4 + 4n) = 8(7n + 4) + 2 Reorder the terms: 4 + 4n = 8(4 + 7n) + 2 4 + 4n = (4 * 8 + 7n * 8) + 2 4 + 4n = (32 + 56n) + 2 Reorder the terms: 4 + 4n = 32 + 2 + 56n Combine like terms: 32 + 2 = 34 4 + 4n = 34 + 56n Solving 4 + 4n = 34 + 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. 4 + 4n + -56n = 34 + 56n + -56n Combine like terms: 4n + -56n = -52n 4 + -52n = 34 + 56n + -56n Combine like terms: 56n + -56n = 0 4 + -52n = 34 + 0 4 + -52n = 34 Add '-4' to each side of the equation. 4 + -4 + -52n = 34 + -4 Combine like terms: 4 + -4 = 0 0 + -52n = 34 + -4 -52n = 34 + -4 Combine like terms: 34 + -4 = 30 -52n = 30 Divide each side by '-52'. n = -0.5769230769 Simplifying n = -0.5769230769
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