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Simplifying 7(2n + 1) = 7(4n + 2) + 4 Reorder the terms: 7(1 + 2n) = 7(4n + 2) + 4 (1 * 7 + 2n * 7) = 7(4n + 2) + 4 (7 + 14n) = 7(4n + 2) + 4 Reorder the terms: 7 + 14n = 7(2 + 4n) + 4 7 + 14n = (2 * 7 + 4n * 7) + 4 7 + 14n = (14 + 28n) + 4 Reorder the terms: 7 + 14n = 14 + 4 + 28n Combine like terms: 14 + 4 = 18 7 + 14n = 18 + 28n Solving 7 + 14n = 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. 7 + 14n + -28n = 18 + 28n + -28n Combine like terms: 14n + -28n = -14n 7 + -14n = 18 + 28n + -28n Combine like terms: 28n + -28n = 0 7 + -14n = 18 + 0 7 + -14n = 18 Add '-7' to each side of the equation. 7 + -7 + -14n = 18 + -7 Combine like terms: 7 + -7 = 0 0 + -14n = 18 + -7 -14n = 18 + -7 Combine like terms: 18 + -7 = 11 -14n = 11 Divide each side by '-14'. n = -0.7857142857 Simplifying n = -0.7857142857
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