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Simplifying 7(2n + 3) = 6(7n + 7) + 8 Reorder the terms: 7(3 + 2n) = 6(7n + 7) + 8 (3 * 7 + 2n * 7) = 6(7n + 7) + 8 (21 + 14n) = 6(7n + 7) + 8 Reorder the terms: 21 + 14n = 6(7 + 7n) + 8 21 + 14n = (7 * 6 + 7n * 6) + 8 21 + 14n = (42 + 42n) + 8 Reorder the terms: 21 + 14n = 42 + 8 + 42n Combine like terms: 42 + 8 = 50 21 + 14n = 50 + 42n Solving 21 + 14n = 50 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 21 + 14n + -42n = 50 + 42n + -42n Combine like terms: 14n + -42n = -28n 21 + -28n = 50 + 42n + -42n Combine like terms: 42n + -42n = 0 21 + -28n = 50 + 0 21 + -28n = 50 Add '-21' to each side of the equation. 21 + -21 + -28n = 50 + -21 Combine like terms: 21 + -21 = 0 0 + -28n = 50 + -21 -28n = 50 + -21 Combine like terms: 50 + -21 = 29 -28n = 29 Divide each side by '-28'. n = -1.035714286 Simplifying n = -1.035714286
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