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Simplifying 2(2n + 4) = 7(4n + 5) + 4 Reorder the terms: 2(4 + 2n) = 7(4n + 5) + 4 (4 * 2 + 2n * 2) = 7(4n + 5) + 4 (8 + 4n) = 7(4n + 5) + 4 Reorder the terms: 8 + 4n = 7(5 + 4n) + 4 8 + 4n = (5 * 7 + 4n * 7) + 4 8 + 4n = (35 + 28n) + 4 Reorder the terms: 8 + 4n = 35 + 4 + 28n Combine like terms: 35 + 4 = 39 8 + 4n = 39 + 28n Solving 8 + 4n = 39 + 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 + 4n + -28n = 39 + 28n + -28n Combine like terms: 4n + -28n = -24n 8 + -24n = 39 + 28n + -28n Combine like terms: 28n + -28n = 0 8 + -24n = 39 + 0 8 + -24n = 39 Add '-8' to each side of the equation. 8 + -8 + -24n = 39 + -8 Combine like terms: 8 + -8 = 0 0 + -24n = 39 + -8 -24n = 39 + -8 Combine like terms: 39 + -8 = 31 -24n = 31 Divide each side by '-24'. n = -1.291666667 Simplifying n = -1.291666667
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