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Simplifying 7(2n + 4) = 8(9n + 2) + 4 Reorder the terms: 7(4 + 2n) = 8(9n + 2) + 4 (4 * 7 + 2n * 7) = 8(9n + 2) + 4 (28 + 14n) = 8(9n + 2) + 4 Reorder the terms: 28 + 14n = 8(2 + 9n) + 4 28 + 14n = (2 * 8 + 9n * 8) + 4 28 + 14n = (16 + 72n) + 4 Reorder the terms: 28 + 14n = 16 + 4 + 72n Combine like terms: 16 + 4 = 20 28 + 14n = 20 + 72n Solving 28 + 14n = 20 + 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. 28 + 14n + -72n = 20 + 72n + -72n Combine like terms: 14n + -72n = -58n 28 + -58n = 20 + 72n + -72n Combine like terms: 72n + -72n = 0 28 + -58n = 20 + 0 28 + -58n = 20 Add '-28' to each side of the equation. 28 + -28 + -58n = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -58n = 20 + -28 -58n = 20 + -28 Combine like terms: 20 + -28 = -8 -58n = -8 Divide each side by '-58'. n = 0.1379310345 Simplifying n = 0.1379310345
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