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Simplifying 2(2n + 4) = 7(9n + 1) + 6 Reorder the terms: 2(4 + 2n) = 7(9n + 1) + 6 (4 * 2 + 2n * 2) = 7(9n + 1) + 6 (8 + 4n) = 7(9n + 1) + 6 Reorder the terms: 8 + 4n = 7(1 + 9n) + 6 8 + 4n = (1 * 7 + 9n * 7) + 6 8 + 4n = (7 + 63n) + 6 Reorder the terms: 8 + 4n = 7 + 6 + 63n Combine like terms: 7 + 6 = 13 8 + 4n = 13 + 63n Solving 8 + 4n = 13 + 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. 8 + 4n + -63n = 13 + 63n + -63n Combine like terms: 4n + -63n = -59n 8 + -59n = 13 + 63n + -63n Combine like terms: 63n + -63n = 0 8 + -59n = 13 + 0 8 + -59n = 13 Add '-8' to each side of the equation. 8 + -8 + -59n = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -59n = 13 + -8 -59n = 13 + -8 Combine like terms: 13 + -8 = 5 -59n = 5 Divide each side by '-59'. n = -0.08474576271 Simplifying n = -0.08474576271
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