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Simplifying 5n + 6(n + 7) = 5n + 6(n + 1) Reorder the terms: 5n + 6(7 + n) = 5n + 6(n + 1) 5n + (7 * 6 + n * 6) = 5n + 6(n + 1) 5n + (42 + 6n) = 5n + 6(n + 1) Reorder the terms: 42 + 5n + 6n = 5n + 6(n + 1) Combine like terms: 5n + 6n = 11n 42 + 11n = 5n + 6(n + 1) Reorder the terms: 42 + 11n = 5n + 6(1 + n) 42 + 11n = 5n + (1 * 6 + n * 6) 42 + 11n = 5n + (6 + 6n) Reorder the terms: 42 + 11n = 6 + 5n + 6n Combine like terms: 5n + 6n = 11n 42 + 11n = 6 + 11n Add '-11n' to each side of the equation. 42 + 11n + -11n = 6 + 11n + -11n Combine like terms: 11n + -11n = 0 42 + 0 = 6 + 11n + -11n 42 = 6 + 11n + -11n Combine like terms: 11n + -11n = 0 42 = 6 + 0 42 = 6 Solving 42 = 6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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