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Simplifying 2(2n + 4) = 8(9n + 4) + 5 Reorder the terms: 2(4 + 2n) = 8(9n + 4) + 5 (4 * 2 + 2n * 2) = 8(9n + 4) + 5 (8 + 4n) = 8(9n + 4) + 5 Reorder the terms: 8 + 4n = 8(4 + 9n) + 5 8 + 4n = (4 * 8 + 9n * 8) + 5 8 + 4n = (32 + 72n) + 5 Reorder the terms: 8 + 4n = 32 + 5 + 72n Combine like terms: 32 + 5 = 37 8 + 4n = 37 + 72n Solving 8 + 4n = 37 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 8 + 4n + -72n = 37 + 72n + -72n Combine like terms: 4n + -72n = -68n 8 + -68n = 37 + 72n + -72n Combine like terms: 72n + -72n = 0 8 + -68n = 37 + 0 8 + -68n = 37 Add '-8' to each side of the equation. 8 + -8 + -68n = 37 + -8 Combine like terms: 8 + -8 = 0 0 + -68n = 37 + -8 -68n = 37 + -8 Combine like terms: 37 + -8 = 29 -68n = 29 Divide each side by '-68'. n = -0.4264705882 Simplifying n = -0.4264705882
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