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Simplifying 2(3n + 4) = 7(4n + 2) + 4 Reorder the terms: 2(4 + 3n) = 7(4n + 2) + 4 (4 * 2 + 3n * 2) = 7(4n + 2) + 4 (8 + 6n) = 7(4n + 2) + 4 Reorder the terms: 8 + 6n = 7(2 + 4n) + 4 8 + 6n = (2 * 7 + 4n * 7) + 4 8 + 6n = (14 + 28n) + 4 Reorder the terms: 8 + 6n = 14 + 4 + 28n Combine like terms: 14 + 4 = 18 8 + 6n = 18 + 28n Solving 8 + 6n = 18 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 8 + 6n + -28n = 18 + 28n + -28n Combine like terms: 6n + -28n = -22n 8 + -22n = 18 + 28n + -28n Combine like terms: 28n + -28n = 0 8 + -22n = 18 + 0 8 + -22n = 18 Add '-8' to each side of the equation. 8 + -8 + -22n = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -22n = 18 + -8 -22n = 18 + -8 Combine like terms: 18 + -8 = 10 -22n = 10 Divide each side by '-22'. n = -0.4545454545 Simplifying n = -0.4545454545
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